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Simplifying -19 = 6 + 5(c + -3) Reorder the terms: -19 = 6 + 5(-3 + c) -19 = 6 + (-3 * 5 + c * 5) -19 = 6 + (-15 + 5c) Combine like terms: 6 + -15 = -9 -19 = -9 + 5c Solving -19 = -9 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -19 + -5c = -9 + 5c + -5c Combine like terms: 5c + -5c = 0 -19 + -5c = -9 + 0 -19 + -5c = -9 Add '19' to each side of the equation. -19 + 19 + -5c = -9 + 19 Combine like terms: -19 + 19 = 0 0 + -5c = -9 + 19 -5c = -9 + 19 Combine like terms: -9 + 19 = 10 -5c = 10 Divide each side by '-5'. c = -2 Simplifying c = -2
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