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Simplifying -5(9c + -8) = -19 + 3c Reorder the terms: -5(-8 + 9c) = -19 + 3c (-8 * -5 + 9c * -5) = -19 + 3c (40 + -45c) = -19 + 3c Solving 40 + -45c = -19 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 40 + -45c + -3c = -19 + 3c + -3c Combine like terms: -45c + -3c = -48c 40 + -48c = -19 + 3c + -3c Combine like terms: 3c + -3c = 0 40 + -48c = -19 + 0 40 + -48c = -19 Add '-40' to each side of the equation. 40 + -40 + -48c = -19 + -40 Combine like terms: 40 + -40 = 0 0 + -48c = -19 + -40 -48c = -19 + -40 Combine like terms: -19 + -40 = -59 -48c = -59 Divide each side by '-48'. c = 1.229166667 Simplifying c = 1.229166667
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