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Simplifying 2(7 + -1r) = 9 + -1r (7 * 2 + -1r * 2) = 9 + -1r (14 + -2r) = 9 + -1r Solving 14 + -2r = 9 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 14 + -2r + r = 9 + -1r + r Combine like terms: -2r + r = -1r 14 + -1r = 9 + -1r + r Combine like terms: -1r + r = 0 14 + -1r = 9 + 0 14 + -1r = 9 Add '-14' to each side of the equation. 14 + -14 + -1r = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -1r = 9 + -14 -1r = 9 + -14 Combine like terms: 9 + -14 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5
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