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Simplifying 1 = 4(1) + 2(-4) + c Multiply 4 * 1 1 = 4 + 2(-4) + c Multiply 2 * -4 1 = 4 + -8 + c Combine like terms: 4 + -8 = -4 1 = -4 + c Solving 1 = -4 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 1 + -1c = -4 + c + -1c Combine like terms: c + -1c = 0 1 + -1c = -4 + 0 1 + -1c = -4 Add '-1' to each side of the equation. 1 + -1 + -1c = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = -4 + -1 -1c = -4 + -1 Combine like terms: -4 + -1 = -5 -1c = -5 Divide each side by '-1'. c = 5 Simplifying c = 5
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