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Simplifying 4(d + -1) = 3(5 + d) Reorder the terms: 4(-1 + d) = 3(5 + d) (-1 * 4 + d * 4) = 3(5 + d) (-4 + 4d) = 3(5 + d) -4 + 4d = (5 * 3 + d * 3) -4 + 4d = (15 + 3d) Solving -4 + 4d = 15 + 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 + 4d + -3d = 15 + 3d + -3d Combine like terms: 4d + -3d = 1d -4 + 1d = 15 + 3d + -3d Combine like terms: 3d + -3d = 0 -4 + 1d = 15 + 0 -4 + 1d = 15 Add '4' to each side of the equation. -4 + 4 + 1d = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 1d = 15 + 4 1d = 15 + 4 Combine like terms: 15 + 4 = 19 1d = 19 Divide each side by '1'. d = 19 Simplifying d = 19
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