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Simplifying 2d + -7 = 5(d + -1) + 9 Reorder the terms: -7 + 2d = 5(d + -1) + 9 Reorder the terms: -7 + 2d = 5(-1 + d) + 9 -7 + 2d = (-1 * 5 + d * 5) + 9 -7 + 2d = (-5 + 5d) + 9 Reorder the terms: -7 + 2d = -5 + 9 + 5d Combine like terms: -5 + 9 = 4 -7 + 2d = 4 + 5d Solving -7 + 2d = 4 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -7 + 2d + -5d = 4 + 5d + -5d Combine like terms: 2d + -5d = -3d -7 + -3d = 4 + 5d + -5d Combine like terms: 5d + -5d = 0 -7 + -3d = 4 + 0 -7 + -3d = 4 Add '7' to each side of the equation. -7 + 7 + -3d = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -3d = 4 + 7 -3d = 4 + 7 Combine like terms: 4 + 7 = 11 -3d = 11 Divide each side by '-3'. d = -3.666666667 Simplifying d = -3.666666667
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