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Simplifying 3(5d + -4) = 3(2d + -1) Reorder the terms: 3(-4 + 5d) = 3(2d + -1) (-4 * 3 + 5d * 3) = 3(2d + -1) (-12 + 15d) = 3(2d + -1) Reorder the terms: -12 + 15d = 3(-1 + 2d) -12 + 15d = (-1 * 3 + 2d * 3) -12 + 15d = (-3 + 6d) Solving -12 + 15d = -3 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -12 + 15d + -6d = -3 + 6d + -6d Combine like terms: 15d + -6d = 9d -12 + 9d = -3 + 6d + -6d Combine like terms: 6d + -6d = 0 -12 + 9d = -3 + 0 -12 + 9d = -3 Add '12' to each side of the equation. -12 + 12 + 9d = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 9d = -3 + 12 9d = -3 + 12 Combine like terms: -3 + 12 = 9 9d = 9 Divide each side by '9'. d = 1 Simplifying d = 1
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