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Simplifying 126 = 6r + -8(6 + 8r) 126 = 6r + (6 * -8 + 8r * -8) 126 = 6r + (-48 + -64r) Reorder the terms: 126 = -48 + 6r + -64r Combine like terms: 6r + -64r = -58r 126 = -48 + -58r Solving 126 = -48 + -58r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '58r' to each side of the equation. 126 + 58r = -48 + -58r + 58r Combine like terms: -58r + 58r = 0 126 + 58r = -48 + 0 126 + 58r = -48 Add '-126' to each side of the equation. 126 + -126 + 58r = -48 + -126 Combine like terms: 126 + -126 = 0 0 + 58r = -48 + -126 58r = -48 + -126 Combine like terms: -48 + -126 = -174 58r = -174 Divide each side by '58'. r = -3 Simplifying r = -3
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