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Simplifying -8r + 8 = -2(3r + -9) Reorder the terms: 8 + -8r = -2(3r + -9) Reorder the terms: 8 + -8r = -2(-9 + 3r) 8 + -8r = (-9 * -2 + 3r * -2) 8 + -8r = (18 + -6r) Solving 8 + -8r = 18 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 8 + -8r + 6r = 18 + -6r + 6r Combine like terms: -8r + 6r = -2r 8 + -2r = 18 + -6r + 6r Combine like terms: -6r + 6r = 0 8 + -2r = 18 + 0 8 + -2r = 18 Add '-8' to each side of the equation. 8 + -8 + -2r = 18 + -8 Combine like terms: 8 + -8 = 0 0 + -2r = 18 + -8 -2r = 18 + -8 Combine like terms: 18 + -8 = 10 -2r = 10 Divide each side by '-2'. r = -5 Simplifying r = -5
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