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Simplifying 3r + -31 = 7(1 + -5r) Reorder the terms: -31 + 3r = 7(1 + -5r) -31 + 3r = (1 * 7 + -5r * 7) -31 + 3r = (7 + -35r) Solving -31 + 3r = 7 + -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 + 3r + 35r = 7 + -35r + 35r Combine like terms: 3r + 35r = 38r -31 + 38r = 7 + -35r + 35r Combine like terms: -35r + 35r = 0 -31 + 38r = 7 + 0 -31 + 38r = 7 Add '31' to each side of the equation. -31 + 31 + 38r = 7 + 31 Combine like terms: -31 + 31 = 0 0 + 38r = 7 + 31 38r = 7 + 31 Combine like terms: 7 + 31 = 38 38r = 38 Divide each side by '38'. r = 1 Simplifying r = 1
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