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Simplifying 5(d + 1) = 4(d + -2) Reorder the terms: 5(1 + d) = 4(d + -2) (1 * 5 + d * 5) = 4(d + -2) (5 + 5d) = 4(d + -2) Reorder the terms: 5 + 5d = 4(-2 + d) 5 + 5d = (-2 * 4 + d * 4) 5 + 5d = (-8 + 4d) Solving 5 + 5d = -8 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 5 + 5d + -4d = -8 + 4d + -4d Combine like terms: 5d + -4d = 1d 5 + 1d = -8 + 4d + -4d Combine like terms: 4d + -4d = 0 5 + 1d = -8 + 0 5 + 1d = -8 Add '-5' to each side of the equation. 5 + -5 + 1d = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 1d = -8 + -5 1d = -8 + -5 Combine like terms: -8 + -5 = -13 1d = -13 Divide each side by '1'. d = -13 Simplifying d = -13
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