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Simplifying -31 + -2r = 7(5 + -5r) -31 + -2r = (5 * 7 + -5r * 7) -31 + -2r = (35 + -35r) Solving -31 + -2r = 35 + -35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35r' to each side of the equation. -31 + -2r + 35r = 35 + -35r + 35r Combine like terms: -2r + 35r = 33r -31 + 33r = 35 + -35r + 35r Combine like terms: -35r + 35r = 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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