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Simplifying 6(3r + -8) = 12 + 6r Reorder the terms: 6(-8 + 3r) = 12 + 6r (-8 * 6 + 3r * 6) = 12 + 6r (-48 + 18r) = 12 + 6r Solving -48 + 18r = 12 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -48 + 18r + -6r = 12 + 6r + -6r Combine like terms: 18r + -6r = 12r -48 + 12r = 12 + 6r + -6r Combine like terms: 6r + -6r = 0 -48 + 12r = 12 + 0 -48 + 12r = 12 Add '48' to each side of the equation. -48 + 48 + 12r = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 12r = 12 + 48 12r = 12 + 48 Combine like terms: 12 + 48 = 60 12r = 60 Divide each side by '12'. r = 5 Simplifying r = 5
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