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Simplifying 4(5 + -1r) = 3(2r + -1) (5 * 4 + -1r * 4) = 3(2r + -1) (20 + -4r) = 3(2r + -1) Reorder the terms: 20 + -4r = 3(-1 + 2r) 20 + -4r = (-1 * 3 + 2r * 3) 20 + -4r = (-3 + 6r) Solving 20 + -4r = -3 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 20 + -4r + -6r = -3 + 6r + -6r Combine like terms: -4r + -6r = -10r 20 + -10r = -3 + 6r + -6r Combine like terms: 6r + -6r = 0 20 + -10r = -3 + 0 20 + -10r = -3 Add '-20' to each side of the equation. 20 + -20 + -10r = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -10r = -3 + -20 -10r = -3 + -20 Combine like terms: -3 + -20 = -23 -10r = -23 Divide each side by '-10'. r = 2.3 Simplifying r = 2.3
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