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Simplifying 3(2d + -1) = 4(2d + -5) + 7 Reorder the terms: 3(-1 + 2d) = 4(2d + -5) + 7 (-1 * 3 + 2d * 3) = 4(2d + -5) + 7 (-3 + 6d) = 4(2d + -5) + 7 Reorder the terms: -3 + 6d = 4(-5 + 2d) + 7 -3 + 6d = (-5 * 4 + 2d * 4) + 7 -3 + 6d = (-20 + 8d) + 7 Reorder the terms: -3 + 6d = -20 + 7 + 8d Combine like terms: -20 + 7 = -13 -3 + 6d = -13 + 8d Solving -3 + 6d = -13 + 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. -3 + 6d + -8d = -13 + 8d + -8d Combine like terms: 6d + -8d = -2d -3 + -2d = -13 + 8d + -8d Combine like terms: 8d + -8d = 0 -3 + -2d = -13 + 0 -3 + -2d = -13 Add '3' to each side of the equation. -3 + 3 + -2d = -13 + 3 Combine like terms: -3 + 3 = 0 0 + -2d = -13 + 3 -2d = -13 + 3 Combine like terms: -13 + 3 = -10 -2d = -10 Divide each side by '-2'. d = 5 Simplifying d = 5
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