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Simplifying 5(-6 + -3d) = -4(3 + -2d) (-6 * 5 + -3d * 5) = -4(3 + -2d) (-30 + -15d) = -4(3 + -2d) -30 + -15d = (3 * -4 + -2d * -4) -30 + -15d = (-12 + 8d) Solving -30 + -15d = -12 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -30 + -15d + -8d = -12 + 8d + -8d Combine like terms: -15d + -8d = -23d -30 + -23d = -12 + 8d + -8d Combine like terms: 8d + -8d = 0 -30 + -23d = -12 + 0 -30 + -23d = -12 Add '30' to each side of the equation. -30 + 30 + -23d = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -23d = -12 + 30 -23d = -12 + 30 Combine like terms: -12 + 30 = 18 -23d = 18 Divide each side by '-23'. d = -0.7826086957 Simplifying d = -0.7826086957
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