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Simplifying 4d = 12 + -6(-2d + 10) Reorder the terms: 4d = 12 + -6(10 + -2d) 4d = 12 + (10 * -6 + -2d * -6) 4d = 12 + (-60 + 12d) Combine like terms: 12 + -60 = -48 4d = -48 + 12d Solving 4d = -48 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 4d + -12d = -48 + 12d + -12d Combine like terms: 4d + -12d = -8d -8d = -48 + 12d + -12d Combine like terms: 12d + -12d = 0 -8d = -48 + 0 -8d = -48 Divide each side by '-8'. d = 6 Simplifying d = 6
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