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Simplifying 3(r + -11) = 7r + -5(-1r + 12) Reorder the terms: 3(-11 + r) = 7r + -5(-1r + 12) (-11 * 3 + r * 3) = 7r + -5(-1r + 12) (-33 + 3r) = 7r + -5(-1r + 12) Reorder the terms: -33 + 3r = 7r + -5(12 + -1r) -33 + 3r = 7r + (12 * -5 + -1r * -5) -33 + 3r = 7r + (-60 + 5r) Reorder the terms: -33 + 3r = -60 + 7r + 5r Combine like terms: 7r + 5r = 12r -33 + 3r = -60 + 12r Solving -33 + 3r = -60 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -33 + 3r + -12r = -60 + 12r + -12r Combine like terms: 3r + -12r = -9r -33 + -9r = -60 + 12r + -12r Combine like terms: 12r + -12r = 0 -33 + -9r = -60 + 0 -33 + -9r = -60 Add '33' to each side of the equation. -33 + 33 + -9r = -60 + 33 Combine like terms: -33 + 33 = 0 0 + -9r = -60 + 33 -9r = -60 + 33 Combine like terms: -60 + 33 = -27 -9r = -27 Divide each side by '-9'. r = 3 Simplifying r = 3
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