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Simplifying -13(d + 1) = 3(d + 2) Reorder the terms: -13(1 + d) = 3(d + 2) (1 * -13 + d * -13) = 3(d + 2) (-13 + -13d) = 3(d + 2) Reorder the terms: -13 + -13d = 3(2 + d) -13 + -13d = (2 * 3 + d * 3) -13 + -13d = (6 + 3d) Solving -13 + -13d = 6 + 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. -13 + -13d + -3d = 6 + 3d + -3d Combine like terms: -13d + -3d = -16d -13 + -16d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 -13 + -16d = 6 + 0 -13 + -16d = 6 Add '13' to each side of the equation. -13 + 13 + -16d = 6 + 13 Combine like terms: -13 + 13 = 0 0 + -16d = 6 + 13 -16d = 6 + 13 Combine like terms: 6 + 13 = 19 -16d = 19 Divide each side by '-16'. d = -1.1875 Simplifying d = -1.1875
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