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Simplifying -112 = -8(2r + -6) + -4r Reorder the terms: -112 = -8(-6 + 2r) + -4r -112 = (-6 * -8 + 2r * -8) + -4r -112 = (48 + -16r) + -4r Combine like terms: -16r + -4r = -20r -112 = 48 + -20r Solving -112 = 48 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. -112 + 20r = 48 + -20r + 20r Combine like terms: -20r + 20r = 0 -112 + 20r = 48 + 0 -112 + 20r = 48 Add '112' to each side of the equation. -112 + 112 + 20r = 48 + 112 Combine like terms: -112 + 112 = 0 0 + 20r = 48 + 112 20r = 48 + 112 Combine like terms: 48 + 112 = 160 20r = 160 Divide each side by '20'. r = 8 Simplifying r = 8
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