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Simplifying 6(8 + 2r) = 6(4r + 7) + 6 (8 * 6 + 2r * 6) = 6(4r + 7) + 6 (48 + 12r) = 6(4r + 7) + 6 Reorder the terms: 48 + 12r = 6(7 + 4r) + 6 48 + 12r = (7 * 6 + 4r * 6) + 6 48 + 12r = (42 + 24r) + 6 Reorder the terms: 48 + 12r = 42 + 6 + 24r Combine like terms: 42 + 6 = 48 48 + 12r = 48 + 24r Add '-48' to each side of the equation. 48 + -48 + 12r = 48 + -48 + 24r Combine like terms: 48 + -48 = 0 0 + 12r = 48 + -48 + 24r 12r = 48 + -48 + 24r Combine like terms: 48 + -48 = 0 12r = 0 + 24r 12r = 24r Solving 12r = 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 12r + -24r = 24r + -24r Combine like terms: 12r + -24r = -12r -12r = 24r + -24r Combine like terms: 24r + -24r = 0 -12r = 0 Divide each side by '-12'. r = 0 Simplifying r = 0
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