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Simplifying 112 = -4r + 8(4r + -7) Reorder the terms: 112 = -4r + 8(-7 + 4r) 112 = -4r + (-7 * 8 + 4r * 8) 112 = -4r + (-56 + 32r) Reorder the terms: 112 = -56 + -4r + 32r Combine like terms: -4r + 32r = 28r 112 = -56 + 28r Solving 112 = -56 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. 112 + -28r = -56 + 28r + -28r Combine like terms: 28r + -28r = 0 112 + -28r = -56 + 0 112 + -28r = -56 Add '-112' to each side of the equation. 112 + -112 + -28r = -56 + -112 Combine like terms: 112 + -112 = 0 0 + -28r = -56 + -112 -28r = -56 + -112 Combine like terms: -56 + -112 = -168 -28r = -168 Divide each side by '-28'. r = 6 Simplifying r = 6
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