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Simplifying 7(96 + 2c) = 7(80 + -3c) (96 * 7 + 2c * 7) = 7(80 + -3c) (672 + 14c) = 7(80 + -3c) 672 + 14c = (80 * 7 + -3c * 7) 672 + 14c = (560 + -21c) Solving 672 + 14c = 560 + -21c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '21c' to each side of the equation. 672 + 14c + 21c = 560 + -21c + 21c Combine like terms: 14c + 21c = 35c 672 + 35c = 560 + -21c + 21c Combine like terms: -21c + 21c = 0 672 + 35c = 560 + 0 672 + 35c = 560 Add '-672' to each side of the equation. 672 + -672 + 35c = 560 + -672 Combine like terms: 672 + -672 = 0 0 + 35c = 560 + -672 35c = 560 + -672 Combine like terms: 560 + -672 = -112 35c = -112 Divide each side by '35'. c = -3.2 Simplifying c = -3.2
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