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Simplifying 5(-6 + -3d) = 5(-2d + 6) (-6 * 5 + -3d * 5) = 5(-2d + 6) (-30 + -15d) = 5(-2d + 6) Reorder the terms: -30 + -15d = 5(6 + -2d) -30 + -15d = (6 * 5 + -2d * 5) -30 + -15d = (30 + -10d) Solving -30 + -15d = 30 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. -30 + -15d + 10d = 30 + -10d + 10d Combine like terms: -15d + 10d = -5d -30 + -5d = 30 + -10d + 10d Combine like terms: -10d + 10d = 0 -30 + -5d = 30 + 0 -30 + -5d = 30 Add '30' to each side of the equation. -30 + 30 + -5d = 30 + 30 Combine like terms: -30 + 30 = 0 0 + -5d = 30 + 30 -5d = 30 + 30 Combine like terms: 30 + 30 = 60 -5d = 60 Divide each side by '-5'. d = -12 Simplifying d = -12
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