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Simplifying 6(d + 6) = -4(d + -6) + 2d Reorder the terms: 6(6 + d) = -4(d + -6) + 2d (6 * 6 + d * 6) = -4(d + -6) + 2d (36 + 6d) = -4(d + -6) + 2d Reorder the terms: 36 + 6d = -4(-6 + d) + 2d 36 + 6d = (-6 * -4 + d * -4) + 2d 36 + 6d = (24 + -4d) + 2d Combine like terms: -4d + 2d = -2d 36 + 6d = 24 + -2d Solving 36 + 6d = 24 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 36 + 6d + 2d = 24 + -2d + 2d Combine like terms: 6d + 2d = 8d 36 + 8d = 24 + -2d + 2d Combine like terms: -2d + 2d = 0 36 + 8d = 24 + 0 36 + 8d = 24 Add '-36' to each side of the equation. 36 + -36 + 8d = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 8d = 24 + -36 8d = 24 + -36 Combine like terms: 24 + -36 = -12 8d = -12 Divide each side by '8'. d = -1.5 Simplifying d = -1.5
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