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Simplifying 10 + 7r = -1 + 6(3 + r) 10 + 7r = -1 + (3 * 6 + r * 6) 10 + 7r = -1 + (18 + 6r) Combine like terms: -1 + 18 = 17 10 + 7r = 17 + 6r Solving 10 + 7r = 17 + 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. 10 + 7r + -6r = 17 + 6r + -6r Combine like terms: 7r + -6r = 1r 10 + 1r = 17 + 6r + -6r Combine like terms: 6r + -6r = 0 10 + 1r = 17 + 0 10 + 1r = 17 Add '-10' to each side of the equation. 10 + -10 + 1r = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 1r = 17 + -10 1r = 17 + -10 Combine like terms: 17 + -10 = 7 1r = 7 Divide each side by '1'. r = 7 Simplifying r = 7
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