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Simplifying 2(2d + -8) = 96 + 5(d + 3) Reorder the terms: 2(-8 + 2d) = 96 + 5(d + 3) (-8 * 2 + 2d * 2) = 96 + 5(d + 3) (-16 + 4d) = 96 + 5(d + 3) Reorder the terms: -16 + 4d = 96 + 5(3 + d) -16 + 4d = 96 + (3 * 5 + d * 5) -16 + 4d = 96 + (15 + 5d) Combine like terms: 96 + 15 = 111 -16 + 4d = 111 + 5d Solving -16 + 4d = 111 + 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. -16 + 4d + -5d = 111 + 5d + -5d Combine like terms: 4d + -5d = -1d -16 + -1d = 111 + 5d + -5d Combine like terms: 5d + -5d = 0 -16 + -1d = 111 + 0 -16 + -1d = 111 Add '16' to each side of the equation. -16 + 16 + -1d = 111 + 16 Combine like terms: -16 + 16 = 0 0 + -1d = 111 + 16 -1d = 111 + 16 Combine like terms: 111 + 16 = 127 -1d = 127 Divide each side by '-1'. d = -127 Simplifying d = -127
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