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Simplifying 3(1 + -1r) + r = -7 + 8r (1 * 3 + -1r * 3) + r = -7 + 8r (3 + -3r) + r = -7 + 8r Combine like terms: -3r + r = -2r 3 + -2r = -7 + 8r Solving 3 + -2r = -7 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 3 + -2r + -8r = -7 + 8r + -8r Combine like terms: -2r + -8r = -10r 3 + -10r = -7 + 8r + -8r Combine like terms: 8r + -8r = 0 3 + -10r = -7 + 0 3 + -10r = -7 Add '-3' to each side of the equation. 3 + -3 + -10r = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -10r = -7 + -3 -10r = -7 + -3 Combine like terms: -7 + -3 = -10 -10r = -10 Divide each side by '-10'. r = 1 Simplifying r = 1
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