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Simplifying 4c + -5c + 8.4 = 3.6 + -2c + -4.2 Reorder the terms: 8.4 + 4c + -5c = 3.6 + -2c + -4.2 Combine like terms: 4c + -5c = -1c 8.4 + -1c = 3.6 + -2c + -4.2 Reorder the terms: 8.4 + -1c = 3.6 + -4.2 + -2c Combine like terms: 3.6 + -4.2 = -0.6 8.4 + -1c = -0.6 + -2c Solving 8.4 + -1c = -0.6 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 8.4 + -1c + 2c = -0.6 + -2c + 2c Combine like terms: -1c + 2c = 1c 8.4 + 1c = -0.6 + -2c + 2c Combine like terms: -2c + 2c = 0 8.4 + 1c = -0.6 + 0 8.4 + 1c = -0.6 Add '-8.4' to each side of the equation. 8.4 + -8.4 + 1c = -0.6 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 1c = -0.6 + -8.4 1c = -0.6 + -8.4 Combine like terms: -0.6 + -8.4 = -9 1c = -9 Divide each side by '1'. c = -9 Simplifying c = -9
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