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Simplifying 7r + -11 = 3 + -1(r + -10) Reorder the terms: -11 + 7r = 3 + -1(r + -10) Reorder the terms: -11 + 7r = 3 + -1(-10 + r) -11 + 7r = 3 + (-10 * -1 + r * -1) -11 + 7r = 3 + (10 + -1r) Combine like terms: 3 + 10 = 13 -11 + 7r = 13 + -1r Solving -11 + 7r = 13 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -11 + 7r + r = 13 + -1r + r Combine like terms: 7r + r = 8r -11 + 8r = 13 + -1r + r Combine like terms: -1r + r = 0 -11 + 8r = 13 + 0 -11 + 8r = 13 Add '11' to each side of the equation. -11 + 11 + 8r = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 8r = 13 + 11 8r = 13 + 11 Combine like terms: 13 + 11 = 24 8r = 24 Divide each side by '8'. r = 3 Simplifying r = 3
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