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Simplifying 3(3 + 2r) = 5 + -6(r + 2) (3 * 3 + 2r * 3) = 5 + -6(r + 2) (9 + 6r) = 5 + -6(r + 2) Reorder the terms: 9 + 6r = 5 + -6(2 + r) 9 + 6r = 5 + (2 * -6 + r * -6) 9 + 6r = 5 + (-12 + -6r) Combine like terms: 5 + -12 = -7 9 + 6r = -7 + -6r Solving 9 + 6r = -7 + -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. 9 + 6r + 6r = -7 + -6r + 6r Combine like terms: 6r + 6r = 12r 9 + 12r = -7 + -6r + 6r Combine like terms: -6r + 6r = 0 9 + 12r = -7 + 0 9 + 12r = -7 Add '-9' to each side of the equation. 9 + -9 + 12r = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 12r = -7 + -9 12r = -7 + -9 Combine like terms: -7 + -9 = -16 12r = -16 Divide each side by '12'. r = -1.333333333 Simplifying r = -1.333333333
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