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Simplifying 7r + -4(4r + 8) = 24 Reorder the terms: 7r + -4(8 + 4r) = 24 7r + (8 * -4 + 4r * -4) = 24 7r + (-32 + -16r) = 24 Reorder the terms: -32 + 7r + -16r = 24 Combine like terms: 7r + -16r = -9r -32 + -9r = 24 Solving -32 + -9r = 24 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -9r = 24 + 32 Combine like terms: -32 + 32 = 0 0 + -9r = 24 + 32 -9r = 24 + 32 Combine like terms: 24 + 32 = 56 -9r = 56 Divide each side by '-9'. r = -6.222222222 Simplifying r = -6.222222222
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