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Simplifying 6(r + -1) = 2(r + -4) + -6 Reorder the terms: 6(-1 + r) = 2(r + -4) + -6 (-1 * 6 + r * 6) = 2(r + -4) + -6 (-6 + 6r) = 2(r + -4) + -6 Reorder the terms: -6 + 6r = 2(-4 + r) + -6 -6 + 6r = (-4 * 2 + r * 2) + -6 -6 + 6r = (-8 + 2r) + -6 Reorder the terms: -6 + 6r = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 -6 + 6r = -14 + 2r Solving -6 + 6r = -14 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -6 + 6r + -2r = -14 + 2r + -2r Combine like terms: 6r + -2r = 4r -6 + 4r = -14 + 2r + -2r Combine like terms: 2r + -2r = 0 -6 + 4r = -14 + 0 -6 + 4r = -14 Add '6' to each side of the equation. -6 + 6 + 4r = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 4r = -14 + 6 4r = -14 + 6 Combine like terms: -14 + 6 = -8 4r = -8 Divide each side by '4'. r = -2 Simplifying r = -2
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