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Simplifying 6(r + -1) = 4r + 8 Reorder the terms: 6(-1 + r) = 4r + 8 (-1 * 6 + r * 6) = 4r + 8 (-6 + 6r) = 4r + 8 Reorder the terms: -6 + 6r = 8 + 4r Solving -6 + 6r = 8 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -6 + 6r + -4r = 8 + 4r + -4r Combine like terms: 6r + -4r = 2r -6 + 2r = 8 + 4r + -4r Combine like terms: 4r + -4r = 0 -6 + 2r = 8 + 0 -6 + 2r = 8 Add '6' to each side of the equation. -6 + 6 + 2r = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2r = 8 + 6 2r = 8 + 6 Combine like terms: 8 + 6 = 14 2r = 14 Divide each side by '2'. r = 7 Simplifying r = 7
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