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Simplifying 1.9x + 4.3(12 + -1c) = 34.80 1.9x + (12 * 4.3 + -1c * 4.3) = 34.80 1.9x + (51.6 + -4.3c) = 34.80 Reorder the terms: 51.6 + -4.3c + 1.9x = 34.80 Solving 51.6 + -4.3c + 1.9x = 34.80 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-51.6' to each side of the equation. 51.6 + -4.3c + -51.6 + 1.9x = 34.80 + -51.6 Reorder the terms: 51.6 + -51.6 + -4.3c + 1.9x = 34.80 + -51.6 Combine like terms: 51.6 + -51.6 = 0.0 0.0 + -4.3c + 1.9x = 34.80 + -51.6 -4.3c + 1.9x = 34.80 + -51.6 Combine like terms: 34.80 + -51.6 = -16.8 -4.3c + 1.9x = -16.8 Add '-1.9x' to each side of the equation. -4.3c + 1.9x + -1.9x = -16.8 + -1.9x Combine like terms: 1.9x + -1.9x = 0.0 -4.3c + 0.0 = -16.8 + -1.9x -4.3c = -16.8 + -1.9x Divide each side by '-4.3'. c = 3.906976744 + 0.4418604651x Simplifying c = 3.906976744 + 0.4418604651x
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