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Simplifying 12(r + -3) = 6(r + 3) Reorder the terms: 12(-3 + r) = 6(r + 3) (-3 * 12 + r * 12) = 6(r + 3) (-36 + 12r) = 6(r + 3) Reorder the terms: -36 + 12r = 6(3 + r) -36 + 12r = (3 * 6 + r * 6) -36 + 12r = (18 + 6r) Solving -36 + 12r = 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. -36 + 12r + -6r = 18 + 6r + -6r Combine like terms: 12r + -6r = 6r -36 + 6r = 18 + 6r + -6r Combine like terms: 6r + -6r = 0 -36 + 6r = 18 + 0 -36 + 6r = 18 Add '36' to each side of the equation. -36 + 36 + 6r = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 6r = 18 + 36 6r = 18 + 36 Combine like terms: 18 + 36 = 54 6r = 54 Divide each side by '6'. r = 9 Simplifying r = 9
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