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Simplifying 1 + -4(2c + 2) + 2(1 + c) = 3 Reorder the terms: 1 + -4(2 + 2c) + 2(1 + c) = 3 1 + (2 * -4 + 2c * -4) + 2(1 + c) = 3 1 + (-8 + -8c) + 2(1 + c) = 3 1 + -8 + -8c + (1 * 2 + c * 2) = 3 1 + -8 + -8c + (2 + 2c) = 3 Reorder the terms: 1 + -8 + 2 + -8c + 2c = 3 Combine like terms: 1 + -8 = -7 -7 + 2 + -8c + 2c = 3 Combine like terms: -7 + 2 = -5 -5 + -8c + 2c = 3 Combine like terms: -8c + 2c = -6c -5 + -6c = 3 Solving -5 + -6c = 3 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6c = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -6c = 3 + 5 -6c = 3 + 5 Combine like terms: 3 + 5 = 8 -6c = 8 Divide each side by '-6'. c = -1.333333333 Simplifying c = -1.333333333
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