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Simplifying -2(4 + -8r) + 2(1 + -7r) = -2r + 6r (4 * -2 + -8r * -2) + 2(1 + -7r) = -2r + 6r (-8 + 16r) + 2(1 + -7r) = -2r + 6r -8 + 16r + (1 * 2 + -7r * 2) = -2r + 6r -8 + 16r + (2 + -14r) = -2r + 6r Reorder the terms: -8 + 2 + 16r + -14r = -2r + 6r Combine like terms: -8 + 2 = -6 -6 + 16r + -14r = -2r + 6r Combine like terms: 16r + -14r = 2r -6 + 2r = -2r + 6r Combine like terms: -2r + 6r = 4r -6 + 2r = 4r Solving -6 + 2r = 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 + 2r + -4r = 4r + -4r Combine like terms: 2r + -4r = -2r -6 + -2r = 4r + -4r Combine like terms: 4r + -4r = 0 -6 + -2r = 0 Add '6' to each side of the equation. -6 + 6 + -2r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2r = 0 + 6 -2r = 0 + 6 Combine like terms: 0 + 6 = 6 -2r = 6 Divide each side by '-2'. r = -3 Simplifying r = -3
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