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Simplifying -32 = 3(4d + -7) Reorder the terms: -32 = 3(-7 + 4d) -32 = (-7 * 3 + 4d * 3) -32 = (-21 + 12d) Solving -32 = -21 + 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. -32 + -12d = -21 + 12d + -12d Combine like terms: 12d + -12d = 0 -32 + -12d = -21 + 0 -32 + -12d = -21 Add '32' to each side of the equation. -32 + 32 + -12d = -21 + 32 Combine like terms: -32 + 32 = 0 0 + -12d = -21 + 32 -12d = -21 + 32 Combine like terms: -21 + 32 = 11 -12d = 11 Divide each side by '-12'. d = -0.9166666667 Simplifying d = -0.9166666667
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