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Simplifying -3(-2 + 5r) + 2r = -8r + -14 (-2 * -3 + 5r * -3) + 2r = -8r + -14 (6 + -15r) + 2r = -8r + -14 Combine like terms: -15r + 2r = -13r 6 + -13r = -8r + -14 Reorder the terms: 6 + -13r = -14 + -8r Solving 6 + -13r = -14 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 6 + -13r + 8r = -14 + -8r + 8r Combine like terms: -13r + 8r = -5r 6 + -5r = -14 + -8r + 8r Combine like terms: -8r + 8r = 0 6 + -5r = -14 + 0 6 + -5r = -14 Add '-6' to each side of the equation. 6 + -6 + -5r = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -5r = -14 + -6 -5r = -14 + -6 Combine like terms: -14 + -6 = -20 -5r = -20 Divide each side by '-5'. r = 4 Simplifying r = 4
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