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Simplifying 4(9r + -6) + -9r = 3(12r + -2) Reorder the terms: 4(-6 + 9r) + -9r = 3(12r + -2) (-6 * 4 + 9r * 4) + -9r = 3(12r + -2) (-24 + 36r) + -9r = 3(12r + -2) Combine like terms: 36r + -9r = 27r -24 + 27r = 3(12r + -2) Reorder the terms: -24 + 27r = 3(-2 + 12r) -24 + 27r = (-2 * 3 + 12r * 3) -24 + 27r = (-6 + 36r) Solving -24 + 27r = -6 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. -24 + 27r + -36r = -6 + 36r + -36r Combine like terms: 27r + -36r = -9r -24 + -9r = -6 + 36r + -36r Combine like terms: 36r + -36r = 0 -24 + -9r = -6 + 0 -24 + -9r = -6 Add '24' to each side of the equation. -24 + 24 + -9r = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -9r = -6 + 24 -9r = -6 + 24 Combine like terms: -6 + 24 = 18 -9r = 18 Divide each side by '-9'. r = -2 Simplifying r = -2
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