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Simplifying 133 = 7r + 3(-7r + 7) Reorder the terms: 133 = 7r + 3(7 + -7r) 133 = 7r + (7 * 3 + -7r * 3) 133 = 7r + (21 + -21r) Reorder the terms: 133 = 21 + 7r + -21r Combine like terms: 7r + -21r = -14r 133 = 21 + -14r Solving 133 = 21 + -14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14r' to each side of the equation. 133 + 14r = 21 + -14r + 14r Combine like terms: -14r + 14r = 0 133 + 14r = 21 + 0 133 + 14r = 21 Add '-133' to each side of the equation. 133 + -133 + 14r = 21 + -133 Combine like terms: 133 + -133 = 0 0 + 14r = 21 + -133 14r = 21 + -133 Combine like terms: 21 + -133 = -112 14r = -112 Divide each side by '14'. r = -8 Simplifying r = -8
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