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Simplifying 15(3c + -5) = 3c + -8 Reorder the terms: 15(-5 + 3c) = 3c + -8 (-5 * 15 + 3c * 15) = 3c + -8 (-75 + 45c) = 3c + -8 Reorder the terms: -75 + 45c = -8 + 3c Solving -75 + 45c = -8 + 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. -75 + 45c + -3c = -8 + 3c + -3c Combine like terms: 45c + -3c = 42c -75 + 42c = -8 + 3c + -3c Combine like terms: 3c + -3c = 0 -75 + 42c = -8 + 0 -75 + 42c = -8 Add '75' to each side of the equation. -75 + 75 + 42c = -8 + 75 Combine like terms: -75 + 75 = 0 0 + 42c = -8 + 75 42c = -8 + 75 Combine like terms: -8 + 75 = 67 42c = 67 Divide each side by '42'. c = 1.595238095 Simplifying c = 1.595238095
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