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