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Simplifying 4(-6) + 2(7) + c = 0 Multiply 4 * -6 -24 + 2(7) + c = 0 Multiply 2 * 7 -24 + 14 + c = 0 Combine like terms: -24 + 14 = -10 -10 + c = 0 Solving -10 + c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + c = 0 + 10 Combine like terms: -10 + 10 = 0 0 + c = 0 + 10 c = 0 + 10 Combine like terms: 0 + 10 = 10 c = 10 Simplifying c = 10
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