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Simplifying 4(d + 12) = 8 + -4d Reorder the terms: 4(12 + d) = 8 + -4d (12 * 4 + d * 4) = 8 + -4d (48 + 4d) = 8 + -4d Solving 48 + 4d = 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. 48 + 4d + 4d = 8 + -4d + 4d Combine like terms: 4d + 4d = 8d 48 + 8d = 8 + -4d + 4d Combine like terms: -4d + 4d = 0 48 + 8d = 8 + 0 48 + 8d = 8 Add '-48' to each side of the equation. 48 + -48 + 8d = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 8d = 8 + -48 8d = 8 + -48 Combine like terms: 8 + -48 = -40 8d = -40 Divide each side by '8'. d = -5 Simplifying d = -5
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