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Simplifying -2(r + 4) + -1(r + -5) = -12 Reorder the terms: -2(4 + r) + -1(r + -5) = -12 (4 * -2 + r * -2) + -1(r + -5) = -12 (-8 + -2r) + -1(r + -5) = -12 Reorder the terms: -8 + -2r + -1(-5 + r) = -12 -8 + -2r + (-5 * -1 + r * -1) = -12 -8 + -2r + (5 + -1r) = -12 Reorder the terms: -8 + 5 + -2r + -1r = -12 Combine like terms: -8 + 5 = -3 -3 + -2r + -1r = -12 Combine like terms: -2r + -1r = -3r -3 + -3r = -12 Solving -3 + -3r = -12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -3r = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -3r = -12 + 3 -3r = -12 + 3 Combine like terms: -12 + 3 = -9 -3r = -9 Divide each side by '-3'. r = 3 Simplifying r = 3
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