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Simplifying 15 = 5(2d + -7) Reorder the terms: 15 = 5(-7 + 2d) 15 = (-7 * 5 + 2d * 5) 15 = (-35 + 10d) Solving 15 = -35 + 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 + -10d = -35 + 10d + -10d Combine like terms: 10d + -10d = 0 15 + -10d = -35 + 0 15 + -10d = -35 Add '-15' to each side of the equation. 15 + -15 + -10d = -35 + -15 Combine like terms: 15 + -15 = 0 0 + -10d = -35 + -15 -10d = -35 + -15 Combine like terms: -35 + -15 = -50 -10d = -50 Divide each side by '-10'. d = 5 Simplifying d = 5
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