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Simplifying 3.8x + -1(-1 + -9.7c) = 2.6 + 13.3 3.8x + (-1 * -1 + -9.7c * -1) = 2.6 + 13.3 3.8x + (1 + 9.7c) = 2.6 + 13.3 Reorder the terms: 1 + 9.7c + 3.8x = 2.6 + 13.3 Combine like terms: 2.6 + 13.3 = 15.9 1 + 9.7c + 3.8x = 15.9 Solving 1 + 9.7c + 3.8x = 15.9 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 9.7c + -1 + 3.8x = 15.9 + -1 Reorder the terms: 1 + -1 + 9.7c + 3.8x = 15.9 + -1 Combine like terms: 1 + -1 = 0 0 + 9.7c + 3.8x = 15.9 + -1 9.7c + 3.8x = 15.9 + -1 Combine like terms: 15.9 + -1 = 14.9 9.7c + 3.8x = 14.9 Add '-3.8x' to each side of the equation. 9.7c + 3.8x + -3.8x = 14.9 + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 9.7c + 0.0 = 14.9 + -3.8x 9.7c = 14.9 + -3.8x Divide each side by '9.7'. c = 1.536082474 + -0.3917525773x Simplifying c = 1.536082474 + -0.3917525773x
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