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Simplifying 5(3d + 1) = 2d + -21 Reorder the terms: 5(1 + 3d) = 2d + -21 (1 * 5 + 3d * 5) = 2d + -21 (5 + 15d) = 2d + -21 Reorder the terms: 5 + 15d = -21 + 2d Solving 5 + 15d = -21 + 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. 5 + 15d + -2d = -21 + 2d + -2d Combine like terms: 15d + -2d = 13d 5 + 13d = -21 + 2d + -2d Combine like terms: 2d + -2d = 0 5 + 13d = -21 + 0 5 + 13d = -21 Add '-5' to each side of the equation. 5 + -5 + 13d = -21 + -5 Combine like terms: 5 + -5 = 0 0 + 13d = -21 + -5 13d = -21 + -5 Combine like terms: -21 + -5 = -26 13d = -26 Divide each side by '13'. d = -2 Simplifying d = -2
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