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Simplifying -3(5c + 2) = -19 + 8c Reorder the terms: -3(2 + 5c) = -19 + 8c (2 * -3 + 5c * -3) = -19 + 8c (-6 + -15c) = -19 + 8c Solving -6 + -15c = -19 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -6 + -15c + -8c = -19 + 8c + -8c Combine like terms: -15c + -8c = -23c -6 + -23c = -19 + 8c + -8c Combine like terms: 8c + -8c = 0 -6 + -23c = -19 + 0 -6 + -23c = -19 Add '6' to each side of the equation. -6 + 6 + -23c = -19 + 6 Combine like terms: -6 + 6 = 0 0 + -23c = -19 + 6 -23c = -19 + 6 Combine like terms: -19 + 6 = -13 -23c = -13 Divide each side by '-23'. c = 0.5652173913 Simplifying c = 0.5652173913
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