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Simplifying -2r + 4(-3r + 3) = -15 + -5r Reorder the terms: -2r + 4(3 + -3r) = -15 + -5r -2r + (3 * 4 + -3r * 4) = -15 + -5r -2r + (12 + -12r) = -15 + -5r Reorder the terms: 12 + -2r + -12r = -15 + -5r Combine like terms: -2r + -12r = -14r 12 + -14r = -15 + -5r Solving 12 + -14r = -15 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 12 + -14r + 5r = -15 + -5r + 5r Combine like terms: -14r + 5r = -9r 12 + -9r = -15 + -5r + 5r Combine like terms: -5r + 5r = 0 12 + -9r = -15 + 0 12 + -9r = -15 Add '-12' to each side of the equation. 12 + -12 + -9r = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -9r = -15 + -12 -9r = -15 + -12 Combine like terms: -15 + -12 = -27 -9r = -27 Divide each side by '-9'. r = 3 Simplifying r = 3
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