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Simplifying 12 = -6(r + 5) Reorder the terms: 12 = -6(5 + r) 12 = (5 * -6 + r * -6) 12 = (-30 + -6r) Solving 12 = -30 + -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. 12 + 6r = -30 + -6r + 6r Combine like terms: -6r + 6r = 0 12 + 6r = -30 + 0 12 + 6r = -30 Add '-12' to each side of the equation. 12 + -12 + 6r = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 6r = -30 + -12 6r = -30 + -12 Combine like terms: -30 + -12 = -42 6r = -42 Divide each side by '6'. r = -7 Simplifying r = -7
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