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Simplifying 6(5 + -1r) + 4(-1 + -1r) = 6 (5 * 6 + -1r * 6) + 4(-1 + -1r) = 6 (30 + -6r) + 4(-1 + -1r) = 6 30 + -6r + (-1 * 4 + -1r * 4) = 6 30 + -6r + (-4 + -4r) = 6 Reorder the terms: 30 + -4 + -6r + -4r = 6 Combine like terms: 30 + -4 = 26 26 + -6r + -4r = 6 Combine like terms: -6r + -4r = -10r 26 + -10r = 6 Solving 26 + -10r = 6 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -10r = 6 + -26 Combine like terms: 26 + -26 = 0 0 + -10r = 6 + -26 -10r = 6 + -26 Combine like terms: 6 + -26 = -20 -10r = -20 Divide each side by '-10'. r = 2 Simplifying r = 2
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