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Simplifying 4(4 + -1c) = 3(2 + -1c) (4 * 4 + -1c * 4) = 3(2 + -1c) (16 + -4c) = 3(2 + -1c) 16 + -4c = (2 * 3 + -1c * 3) 16 + -4c = (6 + -3c) Solving 16 + -4c = 6 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 16 + -4c + 3c = 6 + -3c + 3c Combine like terms: -4c + 3c = -1c 16 + -1c = 6 + -3c + 3c Combine like terms: -3c + 3c = 0 16 + -1c = 6 + 0 16 + -1c = 6 Add '-16' to each side of the equation. 16 + -16 + -1c = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -1c = 6 + -16 -1c = 6 + -16 Combine like terms: 6 + -16 = -10 -1c = -10 Divide each side by '-1'. c = 10 Simplifying c = 10
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