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Simplifying -5 = 5(3 + 2d) -5 = (3 * 5 + 2d * 5) -5 = (15 + 10d) Solving -5 = 15 + 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. -5 + -10d = 15 + 10d + -10d Combine like terms: 10d + -10d = 0 -5 + -10d = 15 + 0 -5 + -10d = 15 Add '5' to each side of the equation. -5 + 5 + -10d = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -10d = 15 + 5 -10d = 15 + 5 Combine like terms: 15 + 5 = 20 -10d = 20 Divide each side by '-10'. d = -2 Simplifying d = -2
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