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Simplifying (3r + -13) + (r + 7) + r = 74 Reorder the terms: (-13 + 3r) + (r + 7) + r = 74 Remove parenthesis around (-13 + 3r) -13 + 3r + (r + 7) + r = 74 Reorder the terms: -13 + 3r + (7 + r) + r = 74 Remove parenthesis around (7 + r) -13 + 3r + 7 + r + r = 74 Reorder the terms: -13 + 7 + 3r + r + r = 74 Combine like terms: -13 + 7 = -6 -6 + 3r + r + r = 74 Combine like terms: 3r + r = 4r -6 + 4r + r = 74 Combine like terms: 4r + r = 5r -6 + 5r = 74 Solving -6 + 5r = 74 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5r = 74 + 6 Combine like terms: -6 + 6 = 0 0 + 5r = 74 + 6 5r = 74 + 6 Combine like terms: 74 + 6 = 80 5r = 80 Divide each side by '5'. r = 16 Simplifying r = 16
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