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Simplifying 154 = -4(8 + 6r) + 34r 154 = (8 * -4 + 6r * -4) + 34r 154 = (-32 + -24r) + 34r Combine like terms: -24r + 34r = 10r 154 = -32 + 10r Solving 154 = -32 + 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. 154 + -10r = -32 + 10r + -10r Combine like terms: 10r + -10r = 0 154 + -10r = -32 + 0 154 + -10r = -32 Add '-154' to each side of the equation. 154 + -154 + -10r = -32 + -154 Combine like terms: 154 + -154 = 0 0 + -10r = -32 + -154 -10r = -32 + -154 Combine like terms: -32 + -154 = -186 -10r = -186 Divide each side by '-10'. r = 18.6 Simplifying r = 18.6
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