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Simplifying -8(r + 9) = -5(r + 12) Reorder the terms: -8(9 + r) = -5(r + 12) (9 * -8 + r * -8) = -5(r + 12) (-72 + -8r) = -5(r + 12) Reorder the terms: -72 + -8r = -5(12 + r) -72 + -8r = (12 * -5 + r * -5) -72 + -8r = (-60 + -5r) Solving -72 + -8r = -60 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -72 + -8r + 5r = -60 + -5r + 5r Combine like terms: -8r + 5r = -3r -72 + -3r = -60 + -5r + 5r Combine like terms: -5r + 5r = 0 -72 + -3r = -60 + 0 -72 + -3r = -60 Add '72' to each side of the equation. -72 + 72 + -3r = -60 + 72 Combine like terms: -72 + 72 = 0 0 + -3r = -60 + 72 -3r = -60 + 72 Combine like terms: -60 + 72 = 12 -3r = 12 Divide each side by '-3'. r = -4 Simplifying r = -4
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