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Simplifying -2 + -4(-2r + 6) = 6(r + -4) Reorder the terms: -2 + -4(6 + -2r) = 6(r + -4) -2 + (6 * -4 + -2r * -4) = 6(r + -4) -2 + (-24 + 8r) = 6(r + -4) Combine like terms: -2 + -24 = -26 -26 + 8r = 6(r + -4) Reorder the terms: -26 + 8r = 6(-4 + r) -26 + 8r = (-4 * 6 + r * 6) -26 + 8r = (-24 + 6r) Solving -26 + 8r = -24 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -26 + 8r + -6r = -24 + 6r + -6r Combine like terms: 8r + -6r = 2r -26 + 2r = -24 + 6r + -6r Combine like terms: 6r + -6r = 0 -26 + 2r = -24 + 0 -26 + 2r = -24 Add '26' to each side of the equation. -26 + 26 + 2r = -24 + 26 Combine like terms: -26 + 26 = 0 0 + 2r = -24 + 26 2r = -24 + 26 Combine like terms: -24 + 26 = 2 2r = 2 Divide each side by '2'. r = 1 Simplifying r = 1
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