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Simplifying 11 + -1r = 8(r + -20) Reorder the terms: 11 + -1r = 8(-20 + r) 11 + -1r = (-20 * 8 + r * 8) 11 + -1r = (-160 + 8r) Solving 11 + -1r = -160 + 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. 11 + -1r + -8r = -160 + 8r + -8r Combine like terms: -1r + -8r = -9r 11 + -9r = -160 + 8r + -8r Combine like terms: 8r + -8r = 0 11 + -9r = -160 + 0 11 + -9r = -160 Add '-11' to each side of the equation. 11 + -11 + -9r = -160 + -11 Combine like terms: 11 + -11 = 0 0 + -9r = -160 + -11 -9r = -160 + -11 Combine like terms: -160 + -11 = -171 -9r = -171 Divide each side by '-9'. r = 19 Simplifying r = 19
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