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Simplifying -8 = 4(d + 2) + -3(d + -3) Reorder the terms: -8 = 4(2 + d) + -3(d + -3) -8 = (2 * 4 + d * 4) + -3(d + -3) -8 = (8 + 4d) + -3(d + -3) Reorder the terms: -8 = 8 + 4d + -3(-3 + d) -8 = 8 + 4d + (-3 * -3 + d * -3) -8 = 8 + 4d + (9 + -3d) Reorder the terms: -8 = 8 + 9 + 4d + -3d Combine like terms: 8 + 9 = 17 -8 = 17 + 4d + -3d Combine like terms: 4d + -3d = 1d -8 = 17 + 1d Solving -8 = 17 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -8 + -1d = 17 + 1d + -1d Combine like terms: 1d + -1d = 0 -8 + -1d = 17 + 0 -8 + -1d = 17 Add '8' to each side of the equation. -8 + 8 + -1d = 17 + 8 Combine like terms: -8 + 8 = 0 0 + -1d = 17 + 8 -1d = 17 + 8 Combine like terms: 17 + 8 = 25 -1d = 25 Divide each side by '-1'. d = -25 Simplifying d = -25
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