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Simplifying -6(3 + -12) = 11r + -6(r + 3) Combine like terms: 3 + -12 = -9 -6(-9) = 11r + -6(r + 3) Multiply -6 * -9 54 = 11r + -6(r + 3) Reorder the terms: 54 = 11r + -6(3 + r) 54 = 11r + (3 * -6 + r * -6) 54 = 11r + (-18 + -6r) Reorder the terms: 54 = -18 + 11r + -6r Combine like terms: 11r + -6r = 5r 54 = -18 + 5r Solving 54 = -18 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 54 + -5r = -18 + 5r + -5r Combine like terms: 5r + -5r = 0 54 + -5r = -18 + 0 54 + -5r = -18 Add '-54' to each side of the equation. 54 + -54 + -5r = -18 + -54 Combine like terms: 54 + -54 = 0 0 + -5r = -18 + -54 -5r = -18 + -54 Combine like terms: -18 + -54 = -72 -5r = -72 Divide each side by '-5'. r = 14.4 Simplifying r = 14.4
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