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Simplifying 10 + 3r + -2r = 5(6r + 2) Combine like terms: 3r + -2r = 1r 10 + 1r = 5(6r + 2) Reorder the terms: 10 + 1r = 5(2 + 6r) 10 + 1r = (2 * 5 + 6r * 5) 10 + 1r = (10 + 30r) Add '-10' to each side of the equation. 10 + -10 + 1r = 10 + -10 + 30r Combine like terms: 10 + -10 = 0 0 + 1r = 10 + -10 + 30r 1r = 10 + -10 + 30r Combine like terms: 10 + -10 = 0 1r = 0 + 30r 1r = 30r Solving 1r = 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 1r + -30r = 30r + -30r Combine like terms: 1r + -30r = -29r -29r = 30r + -30r Combine like terms: 30r + -30r = 0 -29r = 0 Divide each side by '-29'. r = 0 Simplifying r = 0
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