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Simplifying 5(2d + -3) + -4d = 2(4 + -1d) + -15 Reorder the terms: 5(-3 + 2d) + -4d = 2(4 + -1d) + -15 (-3 * 5 + 2d * 5) + -4d = 2(4 + -1d) + -15 (-15 + 10d) + -4d = 2(4 + -1d) + -15 Combine like terms: 10d + -4d = 6d -15 + 6d = 2(4 + -1d) + -15 -15 + 6d = (4 * 2 + -1d * 2) + -15 -15 + 6d = (8 + -2d) + -15 Reorder the terms: -15 + 6d = 8 + -15 + -2d Combine like terms: 8 + -15 = -7 -15 + 6d = -7 + -2d Solving -15 + 6d = -7 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -15 + 6d + 2d = -7 + -2d + 2d Combine like terms: 6d + 2d = 8d -15 + 8d = -7 + -2d + 2d Combine like terms: -2d + 2d = 0 -15 + 8d = -7 + 0 -15 + 8d = -7 Add '15' to each side of the equation. -15 + 15 + 8d = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 8d = -7 + 15 8d = -7 + 15 Combine like terms: -7 + 15 = 8 8d = 8 Divide each side by '8'. d = 1 Simplifying d = 1
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