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Simplifying 4(3c + -1) = 10c + 3 Reorder the terms: 4(-1 + 3c) = 10c + 3 (-1 * 4 + 3c * 4) = 10c + 3 (-4 + 12c) = 10c + 3 Reorder the terms: -4 + 12c = 3 + 10c Solving -4 + 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. -4 + 12c + -10c = 3 + 10c + -10c Combine like terms: 12c + -10c = 2c -4 + 2c = 3 + 10c + -10c Combine like terms: 10c + -10c = 0 -4 + 2c = 3 + 0 -4 + 2c = 3 Add '4' to each side of the equation. -4 + 4 + 2c = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 2c = 3 + 4 2c = 3 + 4 Combine like terms: 3 + 4 = 7 2c = 7 Divide each side by '2'. c = 3.5 Simplifying c = 3.5
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