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Simplifying 8(r + -5) = 12(4r + -1) + 12 Reorder the terms: 8(-5 + r) = 12(4r + -1) + 12 (-5 * 8 + r * 8) = 12(4r + -1) + 12 (-40 + 8r) = 12(4r + -1) + 12 Reorder the terms: -40 + 8r = 12(-1 + 4r) + 12 -40 + 8r = (-1 * 12 + 4r * 12) + 12 -40 + 8r = (-12 + 48r) + 12 Reorder the terms: -40 + 8r = -12 + 12 + 48r Combine like terms: -12 + 12 = 0 -40 + 8r = 0 + 48r -40 + 8r = 48r Solving -40 + 8r = 48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48r' to each side of the equation. -40 + 8r + -48r = 48r + -48r Combine like terms: 8r + -48r = -40r -40 + -40r = 48r + -48r Combine like terms: 48r + -48r = 0 -40 + -40r = 0 Add '40' to each side of the equation. -40 + 40 + -40r = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -40r = 0 + 40 -40r = 0 + 40 Combine like terms: 0 + 40 = 40 -40r = 40 Divide each side by '-40'. r = -1 Simplifying r = -1
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