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Simplifying 14(2r + 8) = 6(5r + -1) Reorder the terms: 14(8 + 2r) = 6(5r + -1) (8 * 14 + 2r * 14) = 6(5r + -1) (112 + 28r) = 6(5r + -1) Reorder the terms: 112 + 28r = 6(-1 + 5r) 112 + 28r = (-1 * 6 + 5r * 6) 112 + 28r = (-6 + 30r) Solving 112 + 28r = -6 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 112 + 28r + -30r = -6 + 30r + -30r Combine like terms: 28r + -30r = -2r 112 + -2r = -6 + 30r + -30r Combine like terms: 30r + -30r = 0 112 + -2r = -6 + 0 112 + -2r = -6 Add '-112' to each side of the equation. 112 + -112 + -2r = -6 + -112 Combine like terms: 112 + -112 = 0 0 + -2r = -6 + -112 -2r = -6 + -112 Combine like terms: -6 + -112 = -118 -2r = -118 Divide each side by '-2'. r = 59 Simplifying r = 59
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