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Simplifying 3(-2r + -3) + -3r = 2r + -31 Reorder the terms: 3(-3 + -2r) + -3r = 2r + -31 (-3 * 3 + -2r * 3) + -3r = 2r + -31 (-9 + -6r) + -3r = 2r + -31 Combine like terms: -6r + -3r = -9r -9 + -9r = 2r + -31 Reorder the terms: -9 + -9r = -31 + 2r Solving -9 + -9r = -31 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -9 + -9r + -2r = -31 + 2r + -2r Combine like terms: -9r + -2r = -11r -9 + -11r = -31 + 2r + -2r Combine like terms: 2r + -2r = 0 -9 + -11r = -31 + 0 -9 + -11r = -31 Add '9' to each side of the equation. -9 + 9 + -11r = -31 + 9 Combine like terms: -9 + 9 = 0 0 + -11r = -31 + 9 -11r = -31 + 9 Combine like terms: -31 + 9 = -22 -11r = -22 Divide each side by '-11'. r = 2 Simplifying r = 2
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