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Simplifying 4(2d + -3) = 2(5d + -13) Reorder the terms: 4(-3 + 2d) = 2(5d + -13) (-3 * 4 + 2d * 4) = 2(5d + -13) (-12 + 8d) = 2(5d + -13) Reorder the terms: -12 + 8d = 2(-13 + 5d) -12 + 8d = (-13 * 2 + 5d * 2) -12 + 8d = (-26 + 10d) Solving -12 + 8d = -26 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -12 + 8d + -10d = -26 + 10d + -10d Combine like terms: 8d + -10d = -2d -12 + -2d = -26 + 10d + -10d Combine like terms: 10d + -10d = 0 -12 + -2d = -26 + 0 -12 + -2d = -26 Add '12' to each side of the equation. -12 + 12 + -2d = -26 + 12 Combine like terms: -12 + 12 = 0 0 + -2d = -26 + 12 -2d = -26 + 12 Combine like terms: -26 + 12 = -14 -2d = -14 Divide each side by '-2'. d = 7 Simplifying d = 7
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