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Simplifying 2(4r + 36) = 16(2r + -18) Reorder the terms: 2(36 + 4r) = 16(2r + -18) (36 * 2 + 4r * 2) = 16(2r + -18) (72 + 8r) = 16(2r + -18) Reorder the terms: 72 + 8r = 16(-18 + 2r) 72 + 8r = (-18 * 16 + 2r * 16) 72 + 8r = (-288 + 32r) Solving 72 + 8r = -288 + 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 = -288 + 32r + -32r Combine like terms: 8r + -32r = -24r 72 + -24r = -288 + 32r + -32r Combine like terms: 32r + -32r = 0 72 + -24r = -288 + 0 72 + -24r = -288 Add '-72' to each side of the equation. 72 + -72 + -24r = -288 + -72 Combine like terms: 72 + -72 = 0 0 + -24r = -288 + -72 -24r = -288 + -72 Combine like terms: -288 + -72 = -360 -24r = -360 Divide each side by '-24'. r = 15 Simplifying r = 15
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