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Simplifying 11r + 7r = -6(-7r + 4) + -12(r + -8) Combine like terms: 11r + 7r = 18r 18r = -6(-7r + 4) + -12(r + -8) Reorder the terms: 18r = -6(4 + -7r) + -12(r + -8) 18r = (4 * -6 + -7r * -6) + -12(r + -8) 18r = (-24 + 42r) + -12(r + -8) Reorder the terms: 18r = -24 + 42r + -12(-8 + r) 18r = -24 + 42r + (-8 * -12 + r * -12) 18r = -24 + 42r + (96 + -12r) Reorder the terms: 18r = -24 + 96 + 42r + -12r Combine like terms: -24 + 96 = 72 18r = 72 + 42r + -12r Combine like terms: 42r + -12r = 30r 18r = 72 + 30r Solving 18r = 72 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 18r + -30r = 72 + 30r + -30r Combine like terms: 18r + -30r = -12r -12r = 72 + 30r + -30r Combine like terms: 30r + -30r = 0 -12r = 72 + 0 -12r = 72 Divide each side by '-12'. r = -6 Simplifying r = -6
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