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Simplifying 4(3 + -5c) + -7(5 + -4c) + 7 = 0 (3 * 4 + -5c * 4) + -7(5 + -4c) + 7 = 0 (12 + -20c) + -7(5 + -4c) + 7 = 0 12 + -20c + (5 * -7 + -4c * -7) + 7 = 0 12 + -20c + (-35 + 28c) + 7 = 0 Reorder the terms: 12 + -35 + 7 + -20c + 28c = 0 Combine like terms: 12 + -35 = -23 -23 + 7 + -20c + 28c = 0 Combine like terms: -23 + 7 = -16 -16 + -20c + 28c = 0 Combine like terms: -20c + 28c = 8c -16 + 8c = 0 Solving -16 + 8c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8c = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 8c = 0 + 16 8c = 0 + 16 Combine like terms: 0 + 16 = 16 8c = 16 Divide each side by '8'. c = 2 Simplifying c = 2
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