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Simplifying 3r + -6 = 6(r + 12) Reorder the terms: -6 + 3r = 6(r + 12) Reorder the terms: -6 + 3r = 6(12 + r) -6 + 3r = (12 * 6 + r * 6) -6 + 3r = (72 + 6r) Solving -6 + 3r = 72 + 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. -6 + 3r + -6r = 72 + 6r + -6r Combine like terms: 3r + -6r = -3r -6 + -3r = 72 + 6r + -6r Combine like terms: 6r + -6r = 0 -6 + -3r = 72 + 0 -6 + -3r = 72 Add '6' to each side of the equation. -6 + 6 + -3r = 72 + 6 Combine like terms: -6 + 6 = 0 0 + -3r = 72 + 6 -3r = 72 + 6 Combine like terms: 72 + 6 = 78 -3r = 78 Divide each side by '-3'. r = -26 Simplifying r = -26
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