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Simplifying 2(d + 1) + -3(5 + 2d) = 3d + -6 Reorder the terms: 2(1 + d) + -3(5 + 2d) = 3d + -6 (1 * 2 + d * 2) + -3(5 + 2d) = 3d + -6 (2 + 2d) + -3(5 + 2d) = 3d + -6 2 + 2d + (5 * -3 + 2d * -3) = 3d + -6 2 + 2d + (-15 + -6d) = 3d + -6 Reorder the terms: 2 + -15 + 2d + -6d = 3d + -6 Combine like terms: 2 + -15 = -13 -13 + 2d + -6d = 3d + -6 Combine like terms: 2d + -6d = -4d -13 + -4d = 3d + -6 Reorder the terms: -13 + -4d = -6 + 3d Solving -13 + -4d = -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 + -4d + -3d = -6 + 3d + -3d Combine like terms: -4d + -3d = -7d -13 + -7d = -6 + 3d + -3d Combine like terms: 3d + -3d = 0 -13 + -7d = -6 + 0 -13 + -7d = -6 Add '13' to each side of the equation. -13 + 13 + -7d = -6 + 13 Combine like terms: -13 + 13 = 0 0 + -7d = -6 + 13 -7d = -6 + 13 Combine like terms: -6 + 13 = 7 -7d = 7 Divide each side by '-7'. d = -1 Simplifying d = -1
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