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Simplifying 6r + -4(2 + -1r) = 4(2r + -1) 6r + (2 * -4 + -1r * -4) = 4(2r + -1) 6r + (-8 + 4r) = 4(2r + -1) Reorder the terms: -8 + 6r + 4r = 4(2r + -1) Combine like terms: 6r + 4r = 10r -8 + 10r = 4(2r + -1) Reorder the terms: -8 + 10r = 4(-1 + 2r) -8 + 10r = (-1 * 4 + 2r * 4) -8 + 10r = (-4 + 8r) Solving -8 + 10r = -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. -8 + 10r + -8r = -4 + 8r + -8r Combine like terms: 10r + -8r = 2r -8 + 2r = -4 + 8r + -8r Combine like terms: 8r + -8r = 0 -8 + 2r = -4 + 0 -8 + 2r = -4 Add '8' to each side of the equation. -8 + 8 + 2r = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 2r = -4 + 8 2r = -4 + 8 Combine like terms: -4 + 8 = 4 2r = 4 Divide each side by '2'. r = 2 Simplifying r = 2
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