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Simplifying 15 + 7r = 6(r + 2) + -5 Reorder the terms: 15 + 7r = 6(2 + r) + -5 15 + 7r = (2 * 6 + r * 6) + -5 15 + 7r = (12 + 6r) + -5 Reorder the terms: 15 + 7r = 12 + -5 + 6r Combine like terms: 12 + -5 = 7 15 + 7r = 7 + 6r Solving 15 + 7r = 7 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 15 + 7r + -6r = 7 + 6r + -6r Combine like terms: 7r + -6r = 1r 15 + 1r = 7 + 6r + -6r Combine like terms: 6r + -6r = 0 15 + 1r = 7 + 0 15 + 1r = 7 Add '-15' to each side of the equation. 15 + -15 + 1r = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 1r = 7 + -15 1r = 7 + -15 Combine like terms: 7 + -15 = -8 1r = -8 Divide each side by '1'. r = -8 Simplifying r = -8
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