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Simplifying 3(8 + -4r) = 8(r + -7) (8 * 3 + -4r * 3) = 8(r + -7) (24 + -12r) = 8(r + -7) Reorder the terms: 24 + -12r = 8(-7 + r) 24 + -12r = (-7 * 8 + r * 8) 24 + -12r = (-56 + 8r) Solving 24 + -12r = -56 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 24 + -12r + -8r = -56 + 8r + -8r Combine like terms: -12r + -8r = -20r 24 + -20r = -56 + 8r + -8r Combine like terms: 8r + -8r = 0 24 + -20r = -56 + 0 24 + -20r = -56 Add '-24' to each side of the equation. 24 + -24 + -20r = -56 + -24 Combine like terms: 24 + -24 = 0 0 + -20r = -56 + -24 -20r = -56 + -24 Combine like terms: -56 + -24 = -80 -20r = -80 Divide each side by '-20'. r = 4 Simplifying r = 4
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