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Simplifying 3(-3 + -9r) = -9r + 45 (-3 * 3 + -9r * 3) = -9r + 45 (-9 + -27r) = -9r + 45 Reorder the terms: -9 + -27r = 45 + -9r Solving -9 + -27r = 45 + -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. -9 + -27r + 9r = 45 + -9r + 9r Combine like terms: -27r + 9r = -18r -9 + -18r = 45 + -9r + 9r Combine like terms: -9r + 9r = 0 -9 + -18r = 45 + 0 -9 + -18r = 45 Add '9' to each side of the equation. -9 + 9 + -18r = 45 + 9 Combine like terms: -9 + 9 = 0 0 + -18r = 45 + 9 -18r = 45 + 9 Combine like terms: 45 + 9 = 54 -18r = 54 Divide each side by '-18'. r = -3 Simplifying r = -3
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