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Simplifying 10(4C + -1) + -16 = 38C + 10 Reorder the terms: 10(-1 + 4C) + -16 = 38C + 10 (-1 * 10 + 4C * 10) + -16 = 38C + 10 (-10 + 40C) + -16 = 38C + 10 Reorder the terms: -10 + -16 + 40C = 38C + 10 Combine like terms: -10 + -16 = -26 -26 + 40C = 38C + 10 Reorder the terms: -26 + 40C = 10 + 38C Solving -26 + 40C = 10 + 38C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-38C' to each side of the equation. -26 + 40C + -38C = 10 + 38C + -38C Combine like terms: 40C + -38C = 2C -26 + 2C = 10 + 38C + -38C Combine like terms: 38C + -38C = 0 -26 + 2C = 10 + 0 -26 + 2C = 10 Add '26' to each side of the equation. -26 + 26 + 2C = 10 + 26 Combine like terms: -26 + 26 = 0 0 + 2C = 10 + 26 2C = 10 + 26 Combine like terms: 10 + 26 = 36 2C = 36 Divide each side by '2'. C = 18 Simplifying C = 18
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