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Simplifying 2(r + 5) + -3 = 3(r + -8) + 21 Reorder the terms: 2(5 + r) + -3 = 3(r + -8) + 21 (5 * 2 + r * 2) + -3 = 3(r + -8) + 21 (10 + 2r) + -3 = 3(r + -8) + 21 Reorder the terms: 10 + -3 + 2r = 3(r + -8) + 21 Combine like terms: 10 + -3 = 7 7 + 2r = 3(r + -8) + 21 Reorder the terms: 7 + 2r = 3(-8 + r) + 21 7 + 2r = (-8 * 3 + r * 3) + 21 7 + 2r = (-24 + 3r) + 21 Reorder the terms: 7 + 2r = -24 + 21 + 3r Combine like terms: -24 + 21 = -3 7 + 2r = -3 + 3r Solving 7 + 2r = -3 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 7 + 2r + -3r = -3 + 3r + -3r Combine like terms: 2r + -3r = -1r 7 + -1r = -3 + 3r + -3r Combine like terms: 3r + -3r = 0 7 + -1r = -3 + 0 7 + -1r = -3 Add '-7' to each side of the equation. 7 + -7 + -1r = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = -3 + -7 -1r = -3 + -7 Combine like terms: -3 + -7 = -10 -1r = -10 Divide each side by '-1'. r = 10 Simplifying r = 10
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