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Simplifying 4(d + -1) + -2d = 3d + -13 Reorder the terms: 4(-1 + d) + -2d = 3d + -13 (-1 * 4 + d * 4) + -2d = 3d + -13 (-4 + 4d) + -2d = 3d + -13 Combine like terms: 4d + -2d = 2d -4 + 2d = 3d + -13 Reorder the terms: -4 + 2d = -13 + 3d Solving -4 + 2d = -13 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -4 + 2d + -3d = -13 + 3d + -3d Combine like terms: 2d + -3d = -1d -4 + -1d = -13 + 3d + -3d Combine like terms: 3d + -3d = 0 -4 + -1d = -13 + 0 -4 + -1d = -13 Add '4' to each side of the equation. -4 + 4 + -1d = -13 + 4 Combine like terms: -4 + 4 = 0 0 + -1d = -13 + 4 -1d = -13 + 4 Combine like terms: -13 + 4 = -9 -1d = -9 Divide each side by '-1'. d = 9 Simplifying d = 9
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