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