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Simplifying 3(d + -5) + 6d = d + -1(2d + -2) * 4 Reorder the terms: 3(-5 + d) + 6d = d + -1(2d + -2) * 4 (-5 * 3 + d * 3) + 6d = d + -1(2d + -2) * 4 (-15 + 3d) + 6d = d + -1(2d + -2) * 4 Combine like terms: 3d + 6d = 9d -15 + 9d = d + -1(2d + -2) * 4 Reorder the terms: -15 + 9d = d + -1(-2 + 2d) * 4 Reorder the terms for easier multiplication: -15 + 9d = d + -1 * 4(-2 + 2d) Multiply -1 * 4 -15 + 9d = d + -4(-2 + 2d) -15 + 9d = d + (-2 * -4 + 2d * -4) -15 + 9d = d + (8 + -8d) Reorder the terms: -15 + 9d = 8 + d + -8d Combine like terms: d + -8d = -7d -15 + 9d = 8 + -7d Solving -15 + 9d = 8 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. -15 + 9d + 7d = 8 + -7d + 7d Combine like terms: 9d + 7d = 16d -15 + 16d = 8 + -7d + 7d Combine like terms: -7d + 7d = 0 -15 + 16d = 8 + 0 -15 + 16d = 8 Add '15' to each side of the equation. -15 + 15 + 16d = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 16d = 8 + 15 16d = 8 + 15 Combine like terms: 8 + 15 = 23 16d = 23 Divide each side by '16'. d = 1.4375 Simplifying d = 1.4375
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