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Simplifying 8(-1 + 3r) + -6r = 12 + 8r (-1 * 8 + 3r * 8) + -6r = 12 + 8r (-8 + 24r) + -6r = 12 + 8r Combine like terms: 24r + -6r = 18r -8 + 18r = 12 + 8r Solving -8 + 18r = 12 + 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. -8 + 18r + -8r = 12 + 8r + -8r Combine like terms: 18r + -8r = 10r -8 + 10r = 12 + 8r + -8r Combine like terms: 8r + -8r = 0 -8 + 10r = 12 + 0 -8 + 10r = 12 Add '8' to each side of the equation. -8 + 8 + 10r = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10r = 12 + 8 10r = 12 + 8 Combine like terms: 12 + 8 = 20 10r = 20 Divide each side by '10'. r = 2 Simplifying r = 2
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