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