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Simplifying 4(5 + -1r) + 5(r + 4) = 40 (5 * 4 + -1r * 4) + 5(r + 4) = 40 (20 + -4r) + 5(r + 4) = 40 Reorder the terms: 20 + -4r + 5(4 + r) = 40 20 + -4r + (4 * 5 + r * 5) = 40 20 + -4r + (20 + 5r) = 40 Reorder the terms: 20 + 20 + -4r + 5r = 40 Combine like terms: 20 + 20 = 40 40 + -4r + 5r = 40 Combine like terms: -4r + 5r = 1r 40 + 1r = 40 Add '-40' to each side of the equation. 40 + -40 + 1r = 40 + -40 Combine like terms: 40 + -40 = 0 0 + 1r = 40 + -40 1r = 40 + -40 Combine like terms: 40 + -40 = 0 1r = 0 Solving 1r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '1'. r = 0 Simplifying r = 0
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