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Simplifying 5(d + 3) = 10d + -5 Reorder the terms: 5(3 + d) = 10d + -5 (3 * 5 + d * 5) = 10d + -5 (15 + 5d) = 10d + -5 Reorder the terms: 15 + 5d = -5 + 10d Solving 15 + 5d = -5 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 15 + 5d + -10d = -5 + 10d + -10d Combine like terms: 5d + -10d = -5d 15 + -5d = -5 + 10d + -10d Combine like terms: 10d + -10d = 0 15 + -5d = -5 + 0 15 + -5d = -5 Add '-15' to each side of the equation. 15 + -15 + -5d = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -5d = -5 + -15 -5d = -5 + -15 Combine like terms: -5 + -15 = -20 -5d = -20 Divide each side by '-5'. d = 4 Simplifying d = 4
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