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Simplifying 9 + -5r = 12 + -1(6r + 7) Reorder the terms: 9 + -5r = 12 + -1(7 + 6r) 9 + -5r = 12 + (7 * -1 + 6r * -1) 9 + -5r = 12 + (-7 + -6r) Combine like terms: 12 + -7 = 5 9 + -5r = 5 + -6r Solving 9 + -5r = 5 + -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. 9 + -5r + 6r = 5 + -6r + 6r Combine like terms: -5r + 6r = 1r 9 + 1r = 5 + -6r + 6r Combine like terms: -6r + 6r = 0 9 + 1r = 5 + 0 9 + 1r = 5 Add '-9' to each side of the equation. 9 + -9 + 1r = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1r = 5 + -9 1r = 5 + -9 Combine like terms: 5 + -9 = -4 1r = -4 Divide each side by '1'. r = -4 Simplifying r = -4
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