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Simplifying 4(d + -4) = 5d + 8 Reorder the terms: 4(-4 + d) = 5d + 8 (-4 * 4 + d * 4) = 5d + 8 (-16 + 4d) = 5d + 8 Reorder the terms: -16 + 4d = 8 + 5d Solving -16 + 4d = 8 + 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 = 8 + 5d + -5d Combine like terms: 4d + -5d = -1d -16 + -1d = 8 + 5d + -5d Combine like terms: 5d + -5d = 0 -16 + -1d = 8 + 0 -16 + -1d = 8 Add '16' to each side of the equation. -16 + 16 + -1d = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -1d = 8 + 16 -1d = 8 + 16 Combine like terms: 8 + 16 = 24 -1d = 24 Divide each side by '-1'. d = -24 Simplifying d = -24
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