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Simplifying 4(8 + c) + -8(9 + -1c) = 0 (8 * 4 + c * 4) + -8(9 + -1c) = 0 (32 + 4c) + -8(9 + -1c) = 0 32 + 4c + (9 * -8 + -1c * -8) = 0 32 + 4c + (-72 + 8c) = 0 Reorder the terms: 32 + -72 + 4c + 8c = 0 Combine like terms: 32 + -72 = -40 -40 + 4c + 8c = 0 Combine like terms: 4c + 8c = 12c -40 + 12c = 0 Solving -40 + 12c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 12c = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 12c = 0 + 40 12c = 0 + 40 Combine like terms: 0 + 40 = 40 12c = 40 Divide each side by '12'. c = 3.333333333 Simplifying c = 3.333333333
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