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Simplifying 5(c + 4) + -4(c + 3) = 0 Reorder the terms: 5(4 + c) + -4(c + 3) = 0 (4 * 5 + c * 5) + -4(c + 3) = 0 (20 + 5c) + -4(c + 3) = 0 Reorder the terms: 20 + 5c + -4(3 + c) = 0 20 + 5c + (3 * -4 + c * -4) = 0 20 + 5c + (-12 + -4c) = 0 Reorder the terms: 20 + -12 + 5c + -4c = 0 Combine like terms: 20 + -12 = 8 8 + 5c + -4c = 0 Combine like terms: 5c + -4c = 1c 8 + 1c = 0 Solving 8 + 1c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1c = 0 + -8 1c = 0 + -8 Combine like terms: 0 + -8 = -8 1c = -8 Divide each side by '1'. c = -8 Simplifying c = -8
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