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Simplifying -1(d + 3) + 1 = 3(d + 6) Reorder the terms: -1(3 + d) + 1 = 3(d + 6) (3 * -1 + d * -1) + 1 = 3(d + 6) (-3 + -1d) + 1 = 3(d + 6) Reorder the terms: -3 + 1 + -1d = 3(d + 6) Combine like terms: -3 + 1 = -2 -2 + -1d = 3(d + 6) Reorder the terms: -2 + -1d = 3(6 + d) -2 + -1d = (6 * 3 + d * 3) -2 + -1d = (18 + 3d) Solving -2 + -1d = 18 + 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. -2 + -1d + -3d = 18 + 3d + -3d Combine like terms: -1d + -3d = -4d -2 + -4d = 18 + 3d + -3d Combine like terms: 3d + -3d = 0 -2 + -4d = 18 + 0 -2 + -4d = 18 Add '2' to each side of the equation. -2 + 2 + -4d = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -4d = 18 + 2 -4d = 18 + 2 Combine like terms: 18 + 2 = 20 -4d = 20 Divide each side by '-4'. d = -5 Simplifying d = -5
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