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Simplifying 67 = -11r + 3(7r + -1) Reorder the terms: 67 = -11r + 3(-1 + 7r) 67 = -11r + (-1 * 3 + 7r * 3) 67 = -11r + (-3 + 21r) Reorder the terms: 67 = -3 + -11r + 21r Combine like terms: -11r + 21r = 10r 67 = -3 + 10r Solving 67 = -3 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 67 + -10r = -3 + 10r + -10r Combine like terms: 10r + -10r = 0 67 + -10r = -3 + 0 67 + -10r = -3 Add '-67' to each side of the equation. 67 + -67 + -10r = -3 + -67 Combine like terms: 67 + -67 = 0 0 + -10r = -3 + -67 -10r = -3 + -67 Combine like terms: -3 + -67 = -70 -10r = -70 Divide each side by '-10'. r = 7 Simplifying r = 7
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