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Simplifying (1 + 4r) + (5r + 3) = 0 Remove parenthesis around (1 + 4r) 1 + 4r + (5r + 3) = 0 Reorder the terms: 1 + 4r + (3 + 5r) = 0 Remove parenthesis around (3 + 5r) 1 + 4r + 3 + 5r = 0 Reorder the terms: 1 + 3 + 4r + 5r = 0 Combine like terms: 1 + 3 = 4 4 + 4r + 5r = 0 Combine like terms: 4r + 5r = 9r 4 + 9r = 0 Solving 4 + 9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9r = 0 + -4 9r = 0 + -4 Combine like terms: 0 + -4 = -4 9r = -4 Divide each side by '9'. r = -0.4444444444 Simplifying r = -0.4444444444
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