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Simplifying 6(4r + -8) = 4(2r + 8) Reorder the terms: 6(-8 + 4r) = 4(2r + 8) (-8 * 6 + 4r * 6) = 4(2r + 8) (-48 + 24r) = 4(2r + 8) Reorder the terms: -48 + 24r = 4(8 + 2r) -48 + 24r = (8 * 4 + 2r * 4) -48 + 24r = (32 + 8r) Solving -48 + 24r = 32 + 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. -48 + 24r + -8r = 32 + 8r + -8r Combine like terms: 24r + -8r = 16r -48 + 16r = 32 + 8r + -8r Combine like terms: 8r + -8r = 0 -48 + 16r = 32 + 0 -48 + 16r = 32 Add '48' to each side of the equation. -48 + 48 + 16r = 32 + 48 Combine like terms: -48 + 48 = 0 0 + 16r = 32 + 48 16r = 32 + 48 Combine like terms: 32 + 48 = 80 16r = 80 Divide each side by '16'. r = 5 Simplifying r = 5
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