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Simplifying 3(r + -13) + -1(-12) = 18 Reorder the terms: 3(-13 + r) + -1(-12) = 18 (-13 * 3 + r * 3) + -1(-12) = 18 (-39 + 3r) + -1(-12) = 18 Multiply -1 * -12 -39 + 3r + 12 = 18 Reorder the terms: -39 + 12 + 3r = 18 Combine like terms: -39 + 12 = -27 -27 + 3r = 18 Solving -27 + 3r = 18 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 3r = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 3r = 18 + 27 3r = 18 + 27 Combine like terms: 18 + 27 = 45 3r = 45 Divide each side by '3'. r = 15 Simplifying r = 15
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