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Simplifying 8 + -2(c + 5) = 4(c + -2) + 54 Reorder the terms: 8 + -2(5 + c) = 4(c + -2) + 54 8 + (5 * -2 + c * -2) = 4(c + -2) + 54 8 + (-10 + -2c) = 4(c + -2) + 54 Combine like terms: 8 + -10 = -2 -2 + -2c = 4(c + -2) + 54 Reorder the terms: -2 + -2c = 4(-2 + c) + 54 -2 + -2c = (-2 * 4 + c * 4) + 54 -2 + -2c = (-8 + 4c) + 54 Reorder the terms: -2 + -2c = -8 + 54 + 4c Combine like terms: -8 + 54 = 46 -2 + -2c = 46 + 4c Solving -2 + -2c = 46 + 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. -2 + -2c + -4c = 46 + 4c + -4c Combine like terms: -2c + -4c = -6c -2 + -6c = 46 + 4c + -4c Combine like terms: 4c + -4c = 0 -2 + -6c = 46 + 0 -2 + -6c = 46 Add '2' to each side of the equation. -2 + 2 + -6c = 46 + 2 Combine like terms: -2 + 2 = 0 0 + -6c = 46 + 2 -6c = 46 + 2 Combine like terms: 46 + 2 = 48 -6c = 48 Divide each side by '-6'. c = -8 Simplifying c = -8
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