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Simplifying 5s + -2 + 3(c + -11) = 5 Reorder the terms: 5s + -2 + 3(-11 + c) = 5 5s + -2 + (-11 * 3 + c * 3) = 5 5s + -2 + (-33 + 3c) = 5 Reorder the terms: -2 + -33 + 3c + 5s = 5 Combine like terms: -2 + -33 = -35 -35 + 3c + 5s = 5 Solving -35 + 3c + 5s = 5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 3c + 35 + 5s = 5 + 35 Reorder the terms: -35 + 35 + 3c + 5s = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 3c + 5s = 5 + 35 3c + 5s = 5 + 35 Combine like terms: 5 + 35 = 40 3c + 5s = 40 Add '-5s' to each side of the equation. 3c + 5s + -5s = 40 + -5s Combine like terms: 5s + -5s = 0 3c + 0 = 40 + -5s 3c = 40 + -5s Divide each side by '3'. c = 13.33333333 + -1.666666667s Simplifying c = 13.33333333 + -1.666666667s
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