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Simplifying -3 + 6(5r + -5) = 8r + 11(r + -2) Reorder the terms: -3 + 6(-5 + 5r) = 8r + 11(r + -2) -3 + (-5 * 6 + 5r * 6) = 8r + 11(r + -2) -3 + (-30 + 30r) = 8r + 11(r + -2) Combine like terms: -3 + -30 = -33 -33 + 30r = 8r + 11(r + -2) Reorder the terms: -33 + 30r = 8r + 11(-2 + r) -33 + 30r = 8r + (-2 * 11 + r * 11) -33 + 30r = 8r + (-22 + 11r) Reorder the terms: -33 + 30r = -22 + 8r + 11r Combine like terms: 8r + 11r = 19r -33 + 30r = -22 + 19r Solving -33 + 30r = -22 + 19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19r' to each side of the equation. -33 + 30r + -19r = -22 + 19r + -19r Combine like terms: 30r + -19r = 11r -33 + 11r = -22 + 19r + -19r Combine like terms: 19r + -19r = 0 -33 + 11r = -22 + 0 -33 + 11r = -22 Add '33' to each side of the equation. -33 + 33 + 11r = -22 + 33 Combine like terms: -33 + 33 = 0 0 + 11r = -22 + 33 11r = -22 + 33 Combine like terms: -22 + 33 = 11 11r = 11 Divide each side by '11'. r = 1 Simplifying r = 1
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