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Simplifying 6r + -1(2 + -1r) = 4(2r + -1) 6r + (2 * -1 + -1r * -1) = 4(2r + -1) 6r + (-2 + 1r) = 4(2r + -1) Reorder the terms: -2 + 6r + 1r = 4(2r + -1) Combine like terms: 6r + 1r = 7r -2 + 7r = 4(2r + -1) Reorder the terms: -2 + 7r = 4(-1 + 2r) -2 + 7r = (-1 * 4 + 2r * 4) -2 + 7r = (-4 + 8r) Solving -2 + 7r = -4 + 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. -2 + 7r + -8r = -4 + 8r + -8r Combine like terms: 7r + -8r = -1r -2 + -1r = -4 + 8r + -8r Combine like terms: 8r + -8r = 0 -2 + -1r = -4 + 0 -2 + -1r = -4 Add '2' to each side of the equation. -2 + 2 + -1r = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = -4 + 2 -1r = -4 + 2 Combine like terms: -4 + 2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2
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