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Simplifying 1.6 + -2.3c = 0.6(5 + -4c) 1.6 + -2.3c = (5 * 0.6 + -4c * 0.6) 1.6 + -2.3c = (3 + -2.4c) Solving 1.6 + -2.3c = 3 + -2.4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2.4c' to each side of the equation. 1.6 + -2.3c + 2.4c = 3 + -2.4c + 2.4c Combine like terms: -2.3c + 2.4c = 0.1c 1.6 + 0.1c = 3 + -2.4c + 2.4c Combine like terms: -2.4c + 2.4c = 0.0 1.6 + 0.1c = 3 + 0.0 1.6 + 0.1c = 3 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.1c = 3 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.1c = 3 + -1.6 0.1c = 3 + -1.6 Combine like terms: 3 + -1.6 = 1.4 0.1c = 1.4 Divide each side by '0.1'. c = 14 Simplifying c = 14
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