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Simplifying 3(4C + -1) + -16 = 10C + 3 Reorder the terms: 3(-1 + 4C) + -16 = 10C + 3 (-1 * 3 + 4C * 3) + -16 = 10C + 3 (-3 + 12C) + -16 = 10C + 3 Reorder the terms: -3 + -16 + 12C = 10C + 3 Combine like terms: -3 + -16 = -19 -19 + 12C = 10C + 3 Reorder the terms: -19 + 12C = 3 + 10C Solving -19 + 12C = 3 + 10C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-10C' to each side of the equation. -19 + 12C + -10C = 3 + 10C + -10C Combine like terms: 12C + -10C = 2C -19 + 2C = 3 + 10C + -10C Combine like terms: 10C + -10C = 0 -19 + 2C = 3 + 0 -19 + 2C = 3 Add '19' to each side of the equation. -19 + 19 + 2C = 3 + 19 Combine like terms: -19 + 19 = 0 0 + 2C = 3 + 19 2C = 3 + 19 Combine like terms: 3 + 19 = 22 2C = 22 Divide each side by '2'. C = 11 Simplifying C = 11
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