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Simplifying 0.7(6c + 3) = 6(c + 3) Reorder the terms: 0.7(3 + 6c) = 6(c + 3) (3 * 0.7 + 6c * 0.7) = 6(c + 3) (2.1 + 4.2c) = 6(c + 3) Reorder the terms: 2.1 + 4.2c = 6(3 + c) 2.1 + 4.2c = (3 * 6 + c * 6) 2.1 + 4.2c = (18 + 6c) Solving 2.1 + 4.2c = 18 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 2.1 + 4.2c + -6c = 18 + 6c + -6c Combine like terms: 4.2c + -6c = -1.8c 2.1 + -1.8c = 18 + 6c + -6c Combine like terms: 6c + -6c = 0 2.1 + -1.8c = 18 + 0 2.1 + -1.8c = 18 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -1.8c = 18 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -1.8c = 18 + -2.1 -1.8c = 18 + -2.1 Combine like terms: 18 + -2.1 = 15.9 -1.8c = 15.9 Divide each side by '-1.8'. c = -8.833333333 Simplifying c = -8.833333333
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