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Simplifying -2 + 4(-1r + -6) = -1(r + -1) Reorder the terms: -2 + 4(-6 + -1r) = -1(r + -1) -2 + (-6 * 4 + -1r * 4) = -1(r + -1) -2 + (-24 + -4r) = -1(r + -1) Combine like terms: -2 + -24 = -26 -26 + -4r = -1(r + -1) Reorder the terms: -26 + -4r = -1(-1 + r) -26 + -4r = (-1 * -1 + r * -1) -26 + -4r = (1 + -1r) Solving -26 + -4r = 1 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -26 + -4r + r = 1 + -1r + r Combine like terms: -4r + r = -3r -26 + -3r = 1 + -1r + r Combine like terms: -1r + r = 0 -26 + -3r = 1 + 0 -26 + -3r = 1 Add '26' to each side of the equation. -26 + 26 + -3r = 1 + 26 Combine like terms: -26 + 26 = 0 0 + -3r = 1 + 26 -3r = 1 + 26 Combine like terms: 1 + 26 = 27 -3r = 27 Divide each side by '-3'. r = -9 Simplifying r = -9
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