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Simplifying -31 + -3r = 5(7 + 6r) -31 + -3r = (7 * 5 + 6r * 5) -31 + -3r = (35 + 30r) Solving -31 + -3r = 35 + 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. -31 + -3r + -30r = 35 + 30r + -30r Combine like terms: -3r + -30r = -33r -31 + -33r = 35 + 30r + -30r Combine like terms: 30r + -30r = 0 -31 + -33r = 35 + 0 -31 + -33r = 35 Add '31' to each side of the equation. -31 + 31 + -33r = 35 + 31 Combine like terms: -31 + 31 = 0 0 + -33r = 35 + 31 -33r = 35 + 31 Combine like terms: 35 + 31 = 66 -33r = 66 Divide each side by '-33'. r = -2 Simplifying r = -2
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