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Simplifying 5(r + 2) = 3(2r + -3) Reorder the terms: 5(2 + r) = 3(2r + -3) (2 * 5 + r * 5) = 3(2r + -3) (10 + 5r) = 3(2r + -3) Reorder the terms: 10 + 5r = 3(-3 + 2r) 10 + 5r = (-3 * 3 + 2r * 3) 10 + 5r = (-9 + 6r) Solving 10 + 5r = -9 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 10 + 5r + -6r = -9 + 6r + -6r Combine like terms: 5r + -6r = -1r 10 + -1r = -9 + 6r + -6r Combine like terms: 6r + -6r = 0 10 + -1r = -9 + 0 10 + -1r = -9 Add '-10' to each side of the equation. 10 + -10 + -1r = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = -9 + -10 -1r = -9 + -10 Combine like terms: -9 + -10 = -19 -1r = -19 Divide each side by '-1'. r = 19 Simplifying r = 19
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