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Simplifying 6(r + 10) + 3(2r + -7) = 45 Reorder the terms: 6(10 + r) + 3(2r + -7) = 45 (10 * 6 + r * 6) + 3(2r + -7) = 45 (60 + 6r) + 3(2r + -7) = 45 Reorder the terms: 60 + 6r + 3(-7 + 2r) = 45 60 + 6r + (-7 * 3 + 2r * 3) = 45 60 + 6r + (-21 + 6r) = 45 Reorder the terms: 60 + -21 + 6r + 6r = 45 Combine like terms: 60 + -21 = 39 39 + 6r + 6r = 45 Combine like terms: 6r + 6r = 12r 39 + 12r = 45 Solving 39 + 12r = 45 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 12r = 45 + -39 Combine like terms: 39 + -39 = 0 0 + 12r = 45 + -39 12r = 45 + -39 Combine like terms: 45 + -39 = 6 12r = 6 Divide each side by '12'. r = 0.5 Simplifying r = 0.5
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