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Simplifying 0.4c + 0.8c + -6 = c + 7 Reorder the terms: -6 + 0.4c + 0.8c = c + 7 Combine like terms: 0.4c + 0.8c = 1.2c -6 + 1.2c = c + 7 Reorder the terms: -6 + 1.2c = 7 + c Solving -6 + 1.2c = 7 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -6 + 1.2c + -1c = 7 + c + -1c Combine like terms: 1.2c + -1c = 0.2c -6 + 0.2c = 7 + c + -1c Combine like terms: c + -1c = 0 -6 + 0.2c = 7 + 0 -6 + 0.2c = 7 Add '6' to each side of the equation. -6 + 6 + 0.2c = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 0.2c = 7 + 6 0.2c = 7 + 6 Combine like terms: 7 + 6 = 13 0.2c = 13 Divide each side by '0.2'. c = 65 Simplifying c = 65
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