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Simplifying 7(4c + 5) = 9 + -4c + 16 Reorder the terms: 7(5 + 4c) = 9 + -4c + 16 (5 * 7 + 4c * 7) = 9 + -4c + 16 (35 + 28c) = 9 + -4c + 16 Reorder the terms: 35 + 28c = 9 + 16 + -4c Combine like terms: 9 + 16 = 25 35 + 28c = 25 + -4c Solving 35 + 28c = 25 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 35 + 28c + 4c = 25 + -4c + 4c Combine like terms: 28c + 4c = 32c 35 + 32c = 25 + -4c + 4c Combine like terms: -4c + 4c = 0 35 + 32c = 25 + 0 35 + 32c = 25 Add '-35' to each side of the equation. 35 + -35 + 32c = 25 + -35 Combine like terms: 35 + -35 = 0 0 + 32c = 25 + -35 32c = 25 + -35 Combine like terms: 25 + -35 = -10 32c = -10 Divide each side by '32'. c = -0.3125 Simplifying c = -0.3125
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