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Simplifying 12 + 3r = 3(3r + -6) Reorder the terms: 12 + 3r = 3(-6 + 3r) 12 + 3r = (-6 * 3 + 3r * 3) 12 + 3r = (-18 + 9r) Solving 12 + 3r = -18 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 12 + 3r + -9r = -18 + 9r + -9r Combine like terms: 3r + -9r = -6r 12 + -6r = -18 + 9r + -9r Combine like terms: 9r + -9r = 0 12 + -6r = -18 + 0 12 + -6r = -18 Add '-12' to each side of the equation. 12 + -12 + -6r = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -6r = -18 + -12 -6r = -18 + -12 Combine like terms: -18 + -12 = -30 -6r = -30 Divide each side by '-6'. r = 5 Simplifying r = 5
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