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Simplifying 7r + -12 + 10r = -4(r + 2) + -11(r + 12) Reorder the terms: -12 + 7r + 10r = -4(r + 2) + -11(r + 12) Combine like terms: 7r + 10r = 17r -12 + 17r = -4(r + 2) + -11(r + 12) Reorder the terms: -12 + 17r = -4(2 + r) + -11(r + 12) -12 + 17r = (2 * -4 + r * -4) + -11(r + 12) -12 + 17r = (-8 + -4r) + -11(r + 12) Reorder the terms: -12 + 17r = -8 + -4r + -11(12 + r) -12 + 17r = -8 + -4r + (12 * -11 + r * -11) -12 + 17r = -8 + -4r + (-132 + -11r) Reorder the terms: -12 + 17r = -8 + -132 + -4r + -11r Combine like terms: -8 + -132 = -140 -12 + 17r = -140 + -4r + -11r Combine like terms: -4r + -11r = -15r -12 + 17r = -140 + -15r Solving -12 + 17r = -140 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -12 + 17r + 15r = -140 + -15r + 15r Combine like terms: 17r + 15r = 32r -12 + 32r = -140 + -15r + 15r Combine like terms: -15r + 15r = 0 -12 + 32r = -140 + 0 -12 + 32r = -140 Add '12' to each side of the equation. -12 + 12 + 32r = -140 + 12 Combine like terms: -12 + 12 = 0 0 + 32r = -140 + 12 32r = -140 + 12 Combine like terms: -140 + 12 = -128 32r = -128 Divide each side by '32'. r = -4 Simplifying r = -4
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