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Simplifying 25r + -6(3r + -5) = 40 + -3r Reorder the terms: 25r + -6(-5 + 3r) = 40 + -3r 25r + (-5 * -6 + 3r * -6) = 40 + -3r 25r + (30 + -18r) = 40 + -3r Reorder the terms: 30 + 25r + -18r = 40 + -3r Combine like terms: 25r + -18r = 7r 30 + 7r = 40 + -3r Solving 30 + 7r = 40 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 30 + 7r + 3r = 40 + -3r + 3r Combine like terms: 7r + 3r = 10r 30 + 10r = 40 + -3r + 3r Combine like terms: -3r + 3r = 0 30 + 10r = 40 + 0 30 + 10r = 40 Add '-30' to each side of the equation. 30 + -30 + 10r = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 10r = 40 + -30 10r = 40 + -30 Combine like terms: 40 + -30 = 10 10r = 10 Divide each side by '10'. r = 1 Simplifying r = 1
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