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Simplifying 4(r + -1) = 8(-8 + 3r) Reorder the terms: 4(-1 + r) = 8(-8 + 3r) (-1 * 4 + r * 4) = 8(-8 + 3r) (-4 + 4r) = 8(-8 + 3r) -4 + 4r = (-8 * 8 + 3r * 8) -4 + 4r = (-64 + 24r) Solving -4 + 4r = -64 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -4 + 4r + -24r = -64 + 24r + -24r Combine like terms: 4r + -24r = -20r -4 + -20r = -64 + 24r + -24r Combine like terms: 24r + -24r = 0 -4 + -20r = -64 + 0 -4 + -20r = -64 Add '4' to each side of the equation. -4 + 4 + -20r = -64 + 4 Combine like terms: -4 + 4 = 0 0 + -20r = -64 + 4 -20r = -64 + 4 Combine like terms: -64 + 4 = -60 -20r = -60 Divide each side by '-20'. r = 3 Simplifying r = 3
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