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Simplifying 4(2r + 18) = 8(4r + -24) Reorder the terms: 4(18 + 2r) = 8(4r + -24) (18 * 4 + 2r * 4) = 8(4r + -24) (72 + 8r) = 8(4r + -24) Reorder the terms: 72 + 8r = 8(-24 + 4r) 72 + 8r = (-24 * 8 + 4r * 8) 72 + 8r = (-192 + 32r) Solving 72 + 8r = -192 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. 72 + 8r + -32r = -192 + 32r + -32r Combine like terms: 8r + -32r = -24r 72 + -24r = -192 + 32r + -32r Combine like terms: 32r + -32r = 0 72 + -24r = -192 + 0 72 + -24r = -192 Add '-72' to each side of the equation. 72 + -72 + -24r = -192 + -72 Combine like terms: 72 + -72 = 0 0 + -24r = -192 + -72 -24r = -192 + -72 Combine like terms: -192 + -72 = -264 -24r = -264 Divide each side by '-24'. r = 11 Simplifying r = 11
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