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Simplifying 3(-9r + -11) = -12(-11 + 5r) Reorder the terms: 3(-11 + -9r) = -12(-11 + 5r) (-11 * 3 + -9r * 3) = -12(-11 + 5r) (-33 + -27r) = -12(-11 + 5r) -33 + -27r = (-11 * -12 + 5r * -12) -33 + -27r = (132 + -60r) Solving -33 + -27r = 132 + -60r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '60r' to each side of the equation. -33 + -27r + 60r = 132 + -60r + 60r Combine like terms: -27r + 60r = 33r -33 + 33r = 132 + -60r + 60r Combine like terms: -60r + 60r = 0 -33 + 33r = 132 + 0 -33 + 33r = 132 Add '33' to each side of the equation. -33 + 33 + 33r = 132 + 33 Combine like terms: -33 + 33 = 0 0 + 33r = 132 + 33 33r = 132 + 33 Combine like terms: 132 + 33 = 165 33r = 165 Divide each side by '33'. r = 5 Simplifying r = 5
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