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Simplifying 4c + -4(2c + 6) + -4(4c + 2) + 4c + -2 = 0 Reorder the terms: 4c + -4(6 + 2c) + -4(4c + 2) + 4c + -2 = 0 4c + (6 * -4 + 2c * -4) + -4(4c + 2) + 4c + -2 = 0 4c + (-24 + -8c) + -4(4c + 2) + 4c + -2 = 0 Reorder the terms: 4c + -24 + -8c + -4(2 + 4c) + 4c + -2 = 0 4c + -24 + -8c + (2 * -4 + 4c * -4) + 4c + -2 = 0 4c + -24 + -8c + (-8 + -16c) + 4c + -2 = 0 Reorder the terms: -24 + -8 + -2 + 4c + -8c + -16c + 4c = 0 Combine like terms: -24 + -8 = -32 -32 + -2 + 4c + -8c + -16c + 4c = 0 Combine like terms: -32 + -2 = -34 -34 + 4c + -8c + -16c + 4c = 0 Combine like terms: 4c + -8c = -4c -34 + -4c + -16c + 4c = 0 Combine like terms: -4c + -16c = -20c -34 + -20c + 4c = 0 Combine like terms: -20c + 4c = -16c -34 + -16c = 0 Solving -34 + -16c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -16c = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -16c = 0 + 34 -16c = 0 + 34 Combine like terms: 0 + 34 = 34 -16c = 34 Divide each side by '-16'. c = -2.125 Simplifying c = -2.125
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