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Simplifying -5 = 20 + 5(7 + d) -5 = 20 + (7 * 5 + d * 5) -5 = 20 + (35 + 5d) Combine like terms: 20 + 35 = 55 -5 = 55 + 5d Solving -5 = 55 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -5 + -5d = 55 + 5d + -5d Combine like terms: 5d + -5d = 0 -5 + -5d = 55 + 0 -5 + -5d = 55 Add '5' to each side of the equation. -5 + 5 + -5d = 55 + 5 Combine like terms: -5 + 5 = 0 0 + -5d = 55 + 5 -5d = 55 + 5 Combine like terms: 55 + 5 = 60 -5d = 60 Divide each side by '-5'. d = -12 Simplifying d = -12
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