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Simplifying 100 = 2(r + 5) Reorder the terms: 100 = 2(5 + r) 100 = (5 * 2 + r * 2) 100 = (10 + 2r) Solving 100 = 10 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 100 + -2r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 100 + -2r = 10 + 0 100 + -2r = 10 Add '-100' to each side of the equation. 100 + -100 + -2r = 10 + -100 Combine like terms: 100 + -100 = 0 0 + -2r = 10 + -100 -2r = 10 + -100 Combine like terms: 10 + -100 = -90 -2r = -90 Divide each side by '-2'. r = 45 Simplifying r = 45
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