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Simplifying -15 = 9 + 6(r + -8) Reorder the terms: -15 = 9 + 6(-8 + r) -15 = 9 + (-8 * 6 + r * 6) -15 = 9 + (-48 + 6r) Combine like terms: 9 + -48 = -39 -15 = -39 + 6r Solving -15 = -39 + 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. -15 + -6r = -39 + 6r + -6r Combine like terms: 6r + -6r = 0 -15 + -6r = -39 + 0 -15 + -6r = -39 Add '15' to each side of the equation. -15 + 15 + -6r = -39 + 15 Combine like terms: -15 + 15 = 0 0 + -6r = -39 + 15 -6r = -39 + 15 Combine like terms: -39 + 15 = -24 -6r = -24 Divide each side by '-6'. r = 4 Simplifying r = 4
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