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Simplifying 8r + -7(-3r + 8) = 6(r + 6) Reorder the terms: 8r + -7(8 + -3r) = 6(r + 6) 8r + (8 * -7 + -3r * -7) = 6(r + 6) 8r + (-56 + 21r) = 6(r + 6) Reorder the terms: -56 + 8r + 21r = 6(r + 6) Combine like terms: 8r + 21r = 29r -56 + 29r = 6(r + 6) Reorder the terms: -56 + 29r = 6(6 + r) -56 + 29r = (6 * 6 + r * 6) -56 + 29r = (36 + 6r) Solving -56 + 29r = 36 + 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. -56 + 29r + -6r = 36 + 6r + -6r Combine like terms: 29r + -6r = 23r -56 + 23r = 36 + 6r + -6r Combine like terms: 6r + -6r = 0 -56 + 23r = 36 + 0 -56 + 23r = 36 Add '56' to each side of the equation. -56 + 56 + 23r = 36 + 56 Combine like terms: -56 + 56 = 0 0 + 23r = 36 + 56 23r = 36 + 56 Combine like terms: 36 + 56 = 92 23r = 92 Divide each side by '23'. r = 4 Simplifying r = 4
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