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Simplifying 5(d + 3) = (2d + -3)(10) Reorder the terms: 5(3 + d) = (2d + -3)(10) (3 * 5 + d * 5) = (2d + -3)(10) (15 + 5d) = (2d + -3)(10) Reorder the terms: 15 + 5d = (-3 + 2d)(10) Reorder the terms for easier multiplication: 15 + 5d = 10(-3 + 2d) 15 + 5d = (-3 * 10 + 2d * 10) 15 + 5d = (-30 + 20d) Solving 15 + 5d = -30 + 20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-20d' to each side of the equation. 15 + 5d + -20d = -30 + 20d + -20d Combine like terms: 5d + -20d = -15d 15 + -15d = -30 + 20d + -20d Combine like terms: 20d + -20d = 0 15 + -15d = -30 + 0 15 + -15d = -30 Add '-15' to each side of the equation. 15 + -15 + -15d = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -15d = -30 + -15 -15d = -30 + -15 Combine like terms: -30 + -15 = -45 -15d = -45 Divide each side by '-15'. d = 3 Simplifying d = 3
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