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Simplifying 15 + -0.3(c + -14) = 0.6(3c + -14) Reorder the terms: 15 + -0.3(-14 + c) = 0.6(3c + -14) 15 + (-14 * -0.3 + c * -0.3) = 0.6(3c + -14) 15 + (4.2 + -0.3c) = 0.6(3c + -14) Combine like terms: 15 + 4.2 = 19.2 19.2 + -0.3c = 0.6(3c + -14) Reorder the terms: 19.2 + -0.3c = 0.6(-14 + 3c) 19.2 + -0.3c = (-14 * 0.6 + 3c * 0.6) 19.2 + -0.3c = (-8.4 + 1.8c) Solving 19.2 + -0.3c = -8.4 + 1.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1.8c' to each side of the equation. 19.2 + -0.3c + -1.8c = -8.4 + 1.8c + -1.8c Combine like terms: -0.3c + -1.8c = -2.1c 19.2 + -2.1c = -8.4 + 1.8c + -1.8c Combine like terms: 1.8c + -1.8c = 0.0 19.2 + -2.1c = -8.4 + 0.0 19.2 + -2.1c = -8.4 Add '-19.2' to each side of the equation. 19.2 + -19.2 + -2.1c = -8.4 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + -2.1c = -8.4 + -19.2 -2.1c = -8.4 + -19.2 Combine like terms: -8.4 + -19.2 = -27.6 -2.1c = -27.6 Divide each side by '-2.1'. c = 13.14285714 Simplifying c = 13.14285714
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