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Simplifying -5r + 3r = 3(-4r + -4) + -8(-5r + 6) Combine like terms: -5r + 3r = -2r -2r = 3(-4r + -4) + -8(-5r + 6) Reorder the terms: -2r = 3(-4 + -4r) + -8(-5r + 6) -2r = (-4 * 3 + -4r * 3) + -8(-5r + 6) -2r = (-12 + -12r) + -8(-5r + 6) Reorder the terms: -2r = -12 + -12r + -8(6 + -5r) -2r = -12 + -12r + (6 * -8 + -5r * -8) -2r = -12 + -12r + (-48 + 40r) Reorder the terms: -2r = -12 + -48 + -12r + 40r Combine like terms: -12 + -48 = -60 -2r = -60 + -12r + 40r Combine like terms: -12r + 40r = 28r -2r = -60 + 28r Solving -2r = -60 + 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. -2r + -28r = -60 + 28r + -28r Combine like terms: -2r + -28r = -30r -30r = -60 + 28r + -28r Combine like terms: 28r + -28r = 0 -30r = -60 + 0 -30r = -60 Divide each side by '-30'. r = 2 Simplifying r = 2
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