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Simplifying 54 = -8(4 + -5r) + 3r 54 = (4 * -8 + -5r * -8) + 3r 54 = (-32 + 40r) + 3r Combine like terms: 40r + 3r = 43r 54 = -32 + 43r Solving 54 = -32 + 43r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-43r' to each side of the equation. 54 + -43r = -32 + 43r + -43r Combine like terms: 43r + -43r = 0 54 + -43r = -32 + 0 54 + -43r = -32 Add '-54' to each side of the equation. 54 + -54 + -43r = -32 + -54 Combine like terms: 54 + -54 = 0 0 + -43r = -32 + -54 -43r = -32 + -54 Combine like terms: -32 + -54 = -86 -43r = -86 Divide each side by '-43'. r = 2 Simplifying r = 2
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