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Simplifying 8(4r + 4) = 3(3r + -3) Reorder the terms: 8(4 + 4r) = 3(3r + -3) (4 * 8 + 4r * 8) = 3(3r + -3) (32 + 32r) = 3(3r + -3) Reorder the terms: 32 + 32r = 3(-3 + 3r) 32 + 32r = (-3 * 3 + 3r * 3) 32 + 32r = (-9 + 9r) Solving 32 + 32r = -9 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 32 + 32r + -9r = -9 + 9r + -9r Combine like terms: 32r + -9r = 23r 32 + 23r = -9 + 9r + -9r Combine like terms: 9r + -9r = 0 32 + 23r = -9 + 0 32 + 23r = -9 Add '-32' to each side of the equation. 32 + -32 + 23r = -9 + -32 Combine like terms: 32 + -32 = 0 0 + 23r = -9 + -32 23r = -9 + -32 Combine like terms: -9 + -32 = -41 23r = -41 Divide each side by '23'. r = -1.782608696 Simplifying r = -1.782608696
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