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Simplifying 112 = -8 + 8(7 + -4r) 112 = -8 + (7 * 8 + -4r * 8) 112 = -8 + (56 + -32r) Combine like terms: -8 + 56 = 48 112 = 48 + -32r Solving 112 = 48 + -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. 112 + 32r = 48 + -32r + 32r Combine like terms: -32r + 32r = 0 112 + 32r = 48 + 0 112 + 32r = 48 Add '-112' to each side of the equation. 112 + -112 + 32r = 48 + -112 Combine like terms: 112 + -112 = 0 0 + 32r = 48 + -112 32r = 48 + -112 Combine like terms: 48 + -112 = -64 32r = -64 Divide each side by '32'. r = -2 Simplifying r = -2
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