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3 + 4d – 14 = 15 – 5d – 4d
4d – 11 = 15 – 9d
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How to solve the equation 3 + 4d – 14 = 15 – 5d – 4d? Steps:1) Simplify both sides of the equation by combining like terms2) Get all the variables on one side of the equation and constants on the other side3) Solve for the variable by isolating it on one side of the equation.
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To solve the equation (3 + 4d – 14 = 15 – 5d – 4d), follow these steps:
1. Combine like terms: On the left side, combine (3) and (-14) to get (-11). On the right side, combine (-5d) and (-4d) to get (-9d). The equation now looks like this:
(-11 + 4d = 15 – 9d)
2. Add (9d) to both sides: This allows us to get all the (d) terms on one side:
(-11 + 4d + 9d = 15)
This simplifies to:
(-11 + 13d = 15)
3. Add (11) to both sides: This isolates (d):
(13d = 15 + 11)
Thus:
(13d = 26)
4. Divide by (13): To solve for (d), we divide both sides by (13):
(d = frac{26}{13})
Which simplifies to:
(d = 2)
Therefore, the solution to the equation is (d = 2). Good job making progress on this problem