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Simplifying -44 + 13r + 4 = 35r + 16 + -29r Reorder the terms: -44 + 4 + 13r = 35r + 16 + -29r Combine like terms: -44 + 4 = -40 -40 + 13r = 35r + 16 + -29r Reorder the terms: -40 + 13r = 16 + 35r + -29r Combine like terms: 35r + -29r = 6r -40 + 13r = 16 + 6r Solving -40 + 13r = 16 + 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. -40 + 13r + -6r = 16 + 6r + -6r Combine like terms: 13r + -6r = 7r -40 + 7r = 16 + 6r + -6r Combine like terms: 6r + -6r = 0 -40 + 7r = 16 + 0 -40 + 7r = 16 Add '40' to each side of the equation. -40 + 40 + 7r = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 7r = 16 + 40 7r = 16 + 40 Combine like terms: 16 + 40 = 56 7r = 56 Divide each side by '7'. r = 8 Simplifying r = 8
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