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Simplifying 5(d + 3) = 2d + -6 Reorder the terms: 5(3 + d) = 2d + -6 (3 * 5 + d * 5) = 2d + -6 (15 + 5d) = 2d + -6 Reorder the terms: 15 + 5d = -6 + 2d Solving 15 + 5d = -6 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 15 + 5d + -2d = -6 + 2d + -2d Combine like terms: 5d + -2d = 3d 15 + 3d = -6 + 2d + -2d Combine like terms: 2d + -2d = 0 15 + 3d = -6 + 0 15 + 3d = -6 Add '-15' to each side of the equation. 15 + -15 + 3d = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3d = -6 + -15 3d = -6 + -15 Combine like terms: -6 + -15 = -21 3d = -21 Divide each side by '3'. d = -7 Simplifying d = -7
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