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Simplifying 7 + -9r + -1(r + 12) = 12 Reorder the terms: 7 + -9r + -1(12 + r) = 12 7 + -9r + (12 * -1 + r * -1) = 12 7 + -9r + (-12 + -1r) = 12 Reorder the terms: 7 + -12 + -9r + -1r = 12 Combine like terms: 7 + -12 = -5 -5 + -9r + -1r = 12 Combine like terms: -9r + -1r = -10r -5 + -10r = 12 Solving -5 + -10r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -10r = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -10r = 12 + 5 -10r = 12 + 5 Combine like terms: 12 + 5 = 17 -10r = 17 Divide each side by '-10'. r = -1.7 Simplifying r = -1.7
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