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Simplifying 4(d + -3) + -1(9d) = 3(d + 12) Reorder the terms: 4(-3 + d) + -1(9d) = 3(d + 12) (-3 * 4 + d * 4) + -1(9d) = 3(d + 12) (-12 + 4d) + -1(9d) = 3(d + 12) Remove parenthesis around (9d) -12 + 4d + -1 * 9d = 3(d + 12) Multiply -1 * 9 -12 + 4d + -9d = 3(d + 12) Combine like terms: 4d + -9d = -5d -12 + -5d = 3(d + 12) Reorder the terms: -12 + -5d = 3(12 + d) -12 + -5d = (12 * 3 + d * 3) -12 + -5d = (36 + 3d) Solving -12 + -5d = 36 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -12 + -5d + -3d = 36 + 3d + -3d Combine like terms: -5d + -3d = -8d -12 + -8d = 36 + 3d + -3d Combine like terms: 3d + -3d = 0 -12 + -8d = 36 + 0 -12 + -8d = 36 Add '12' to each side of the equation. -12 + 12 + -8d = 36 + 12 Combine like terms: -12 + 12 = 0 0 + -8d = 36 + 12 -8d = 36 + 12 Combine like terms: 36 + 12 = 48 -8d = 48 Divide each side by '-8'. d = -6 Simplifying d = -6
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