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Simplifying 2(7 + -3r) = 3r + -22 (7 * 2 + -3r * 2) = 3r + -22 (14 + -6r) = 3r + -22 Reorder the terms: 14 + -6r = -22 + 3r Solving 14 + -6r = -22 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 14 + -6r + -3r = -22 + 3r + -3r Combine like terms: -6r + -3r = -9r 14 + -9r = -22 + 3r + -3r Combine like terms: 3r + -3r = 0 14 + -9r = -22 + 0 14 + -9r = -22 Add '-14' to each side of the equation. 14 + -14 + -9r = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -9r = -22 + -14 -9r = -22 + -14 Combine like terms: -22 + -14 = -36 -9r = -36 Divide each side by '-9'. r = 4 Simplifying r = 4
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