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Simplifying -8d + -9 = -3(d + 3) + -5 Reorder the terms: -9 + -8d = -3(d + 3) + -5 Reorder the terms: -9 + -8d = -3(3 + d) + -5 -9 + -8d = (3 * -3 + d * -3) + -5 -9 + -8d = (-9 + -3d) + -5 Reorder the terms: -9 + -8d = -9 + -5 + -3d Combine like terms: -9 + -5 = -14 -9 + -8d = -14 + -3d Solving -9 + -8d = -14 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -9 + -8d + 3d = -14 + -3d + 3d Combine like terms: -8d + 3d = -5d -9 + -5d = -14 + -3d + 3d Combine like terms: -3d + 3d = 0 -9 + -5d = -14 + 0 -9 + -5d = -14 Add '9' to each side of the equation. -9 + 9 + -5d = -14 + 9 Combine like terms: -9 + 9 = 0 0 + -5d = -14 + 9 -5d = -14 + 9 Combine like terms: -14 + 9 = -5 -5d = -5 Divide each side by '-5'. d = 1 Simplifying d = 1
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