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Simplifying 5(3r + -6) = 11r + -14 Reorder the terms: 5(-6 + 3r) = 11r + -14 (-6 * 5 + 3r * 5) = 11r + -14 (-30 + 15r) = 11r + -14 Reorder the terms: -30 + 15r = -14 + 11r Solving -30 + 15r = -14 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. -30 + 15r + -11r = -14 + 11r + -11r Combine like terms: 15r + -11r = 4r -30 + 4r = -14 + 11r + -11r Combine like terms: 11r + -11r = 0 -30 + 4r = -14 + 0 -30 + 4r = -14 Add '30' to each side of the equation. -30 + 30 + 4r = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 4r = -14 + 30 4r = -14 + 30 Combine like terms: -14 + 30 = 16 4r = 16 Divide each side by '4'. r = 4 Simplifying r = 4
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