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Simplifying 4(r + -2) = -3(4r + -8) Reorder the terms: 4(-2 + r) = -3(4r + -8) (-2 * 4 + r * 4) = -3(4r + -8) (-8 + 4r) = -3(4r + -8) Reorder the terms: -8 + 4r = -3(-8 + 4r) -8 + 4r = (-8 * -3 + 4r * -3) -8 + 4r = (24 + -12r) Solving -8 + 4r = 24 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -8 + 4r + 12r = 24 + -12r + 12r Combine like terms: 4r + 12r = 16r -8 + 16r = 24 + -12r + 12r Combine like terms: -12r + 12r = 0 -8 + 16r = 24 + 0 -8 + 16r = 24 Add '8' to each side of the equation. -8 + 8 + 16r = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 16r = 24 + 8 16r = 24 + 8 Combine like terms: 24 + 8 = 32 16r = 32 Divide each side by '16'. r = 2 Simplifying r = 2
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