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Simplifying 5(r + -3) + 16 = 2(2r + 9) Reorder the terms: 5(-3 + r) + 16 = 2(2r + 9) (-3 * 5 + r * 5) + 16 = 2(2r + 9) (-15 + 5r) + 16 = 2(2r + 9) Reorder the terms: -15 + 16 + 5r = 2(2r + 9) Combine like terms: -15 + 16 = 1 1 + 5r = 2(2r + 9) Reorder the terms: 1 + 5r = 2(9 + 2r) 1 + 5r = (9 * 2 + 2r * 2) 1 + 5r = (18 + 4r) Solving 1 + 5r = 18 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 1 + 5r + -4r = 18 + 4r + -4r Combine like terms: 5r + -4r = 1r 1 + 1r = 18 + 4r + -4r Combine like terms: 4r + -4r = 0 1 + 1r = 18 + 0 1 + 1r = 18 Add '-1' to each side of the equation. 1 + -1 + 1r = 18 + -1 Combine like terms: 1 + -1 = 0 0 + 1r = 18 + -1 1r = 18 + -1 Combine like terms: 18 + -1 = 17 1r = 17 Divide each side by '1'. r = 17 Simplifying r = 17
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