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Simplifying 6r + -2(2 + -1r) = (2r + -1) 6r + (2 * -2 + -1r * -2) = (2r + -1) 6r + (-4 + 2r) = (2r + -1) Reorder the terms: -4 + 6r + 2r = (2r + -1) Combine like terms: 6r + 2r = 8r -4 + 8r = (2r + -1) Reorder the terms: -4 + 8r = (-1 + 2r) Remove parenthesis around (-1 + 2r) -4 + 8r = -1 + 2r Solving -4 + 8r = -1 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -4 + 8r + -2r = -1 + 2r + -2r Combine like terms: 8r + -2r = 6r -4 + 6r = -1 + 2r + -2r Combine like terms: 2r + -2r = 0 -4 + 6r = -1 + 0 -4 + 6r = -1 Add '4' to each side of the equation. -4 + 4 + 6r = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 6r = -1 + 4 6r = -1 + 4 Combine like terms: -1 + 4 = 3 6r = 3 Divide each side by '6'. r = 0.5 Simplifying r = 0.5
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