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Simplifying 26 = -2(r + -6) + -6(1 + -1r) Reorder the terms: 26 = -2(-6 + r) + -6(1 + -1r) 26 = (-6 * -2 + r * -2) + -6(1 + -1r) 26 = (12 + -2r) + -6(1 + -1r) 26 = 12 + -2r + (1 * -6 + -1r * -6) 26 = 12 + -2r + (-6 + 6r) Reorder the terms: 26 = 12 + -6 + -2r + 6r Combine like terms: 12 + -6 = 6 26 = 6 + -2r + 6r Combine like terms: -2r + 6r = 4r 26 = 6 + 4r Solving 26 = 6 + 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. 26 + -4r = 6 + 4r + -4r Combine like terms: 4r + -4r = 0 26 + -4r = 6 + 0 26 + -4r = 6 Add '-26' to each side of the equation. 26 + -26 + -4r = 6 + -26 Combine like terms: 26 + -26 = 0 0 + -4r = 6 + -26 -4r = 6 + -26 Combine like terms: 6 + -26 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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