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Simplifying 3.4c + -1(5c + 1) = -12.2 Reorder the terms: 3.4c + -1(1 + 5c) = -12.2 3.4c + (1 * -1 + 5c * -1) = -12.2 3.4c + (-1 + -5c) = -12.2 Reorder the terms: -1 + 3.4c + -5c = -12.2 Combine like terms: 3.4c + -5c = -1.6c -1 + -1.6c = -12.2 Solving -1 + -1.6c = -12.2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1.6c = -12.2 + 1 Combine like terms: -1 + 1 = 0 0 + -1.6c = -12.2 + 1 -1.6c = -12.2 + 1 Combine like terms: -12.2 + 1 = -11.2 -1.6c = -11.2 Divide each side by '-1.6'. c = 7 Simplifying c = 7
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