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Simplifying 100 = 5(d + 7) Reorder the terms: 100 = 5(7 + d) 100 = (7 * 5 + d * 5) 100 = (35 + 5d) Solving 100 = 35 + 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. 100 + -5d = 35 + 5d + -5d Combine like terms: 5d + -5d = 0 100 + -5d = 35 + 0 100 + -5d = 35 Add '-100' to each side of the equation. 100 + -100 + -5d = 35 + -100 Combine like terms: 100 + -100 = 0 0 + -5d = 35 + -100 -5d = 35 + -100 Combine like terms: 35 + -100 = -65 -5d = -65 Divide each side by '-5'. d = 13 Simplifying d = 13
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