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Simplifying 6r + -7(4r + 2) = 25 + 8r Reorder the terms: 6r + -7(2 + 4r) = 25 + 8r 6r + (2 * -7 + 4r * -7) = 25 + 8r 6r + (-14 + -28r) = 25 + 8r Reorder the terms: -14 + 6r + -28r = 25 + 8r Combine like terms: 6r + -28r = -22r -14 + -22r = 25 + 8r Solving -14 + -22r = 25 + 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. -14 + -22r + -8r = 25 + 8r + -8r Combine like terms: -22r + -8r = -30r -14 + -30r = 25 + 8r + -8r Combine like terms: 8r + -8r = 0 -14 + -30r = 25 + 0 -14 + -30r = 25 Add '14' to each side of the equation. -14 + 14 + -30r = 25 + 14 Combine like terms: -14 + 14 = 0 0 + -30r = 25 + 14 -30r = 25 + 14 Combine like terms: 25 + 14 = 39 -30r = 39 Divide each side by '-30'. r = -1.3 Simplifying r = -1.3
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