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Simplifying 8(4 + -4r) = 8 + -8(r + 3) (4 * 8 + -4r * 8) = 8 + -8(r + 3) (32 + -32r) = 8 + -8(r + 3) Reorder the terms: 32 + -32r = 8 + -8(3 + r) 32 + -32r = 8 + (3 * -8 + r * -8) 32 + -32r = 8 + (-24 + -8r) Combine like terms: 8 + -24 = -16 32 + -32r = -16 + -8r Solving 32 + -32r = -16 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 32 + -32r + 8r = -16 + -8r + 8r Combine like terms: -32r + 8r = -24r 32 + -24r = -16 + -8r + 8r Combine like terms: -8r + 8r = 0 32 + -24r = -16 + 0 32 + -24r = -16 Add '-32' to each side of the equation. 32 + -32 + -24r = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -24r = -16 + -32 -24r = -16 + -32 Combine like terms: -16 + -32 = -48 -24r = -48 Divide each side by '-24'. r = 2 Simplifying r = 2
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