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Simplifying -1r + 6(r + -2) = 4r + -8 Reorder the terms: -1r + 6(-2 + r) = 4r + -8 -1r + (-2 * 6 + r * 6) = 4r + -8 -1r + (-12 + 6r) = 4r + -8 Reorder the terms: -12 + -1r + 6r = 4r + -8 Combine like terms: -1r + 6r = 5r -12 + 5r = 4r + -8 Reorder the terms: -12 + 5r = -8 + 4r Solving -12 + 5r = -8 + 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. -12 + 5r + -4r = -8 + 4r + -4r Combine like terms: 5r + -4r = 1r -12 + 1r = -8 + 4r + -4r Combine like terms: 4r + -4r = 0 -12 + 1r = -8 + 0 -12 + 1r = -8 Add '12' to each side of the equation. -12 + 12 + 1r = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 1r = -8 + 12 1r = -8 + 12 Combine like terms: -8 + 12 = 4 1r = 4 Divide each side by '1'. r = 4 Simplifying r = 4
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