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Simplifying 4(-2d + -3) + -1(4d + -2) = 134 Reorder the terms: 4(-3 + -2d) + -1(4d + -2) = 134 (-3 * 4 + -2d * 4) + -1(4d + -2) = 134 (-12 + -8d) + -1(4d + -2) = 134 Reorder the terms: -12 + -8d + -1(-2 + 4d) = 134 -12 + -8d + (-2 * -1 + 4d * -1) = 134 -12 + -8d + (2 + -4d) = 134 Reorder the terms: -12 + 2 + -8d + -4d = 134 Combine like terms: -12 + 2 = -10 -10 + -8d + -4d = 134 Combine like terms: -8d + -4d = -12d -10 + -12d = 134 Solving -10 + -12d = 134 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -12d = 134 + 10 Combine like terms: -10 + 10 = 0 0 + -12d = 134 + 10 -12d = 134 + 10 Combine like terms: 134 + 10 = 144 -12d = 144 Divide each side by '-12'. d = -12 Simplifying d = -12
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