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Simplifying 2(5c + -2) + -6 = 2c + 6 Reorder the terms: 2(-2 + 5c) + -6 = 2c + 6 (-2 * 2 + 5c * 2) + -6 = 2c + 6 (-4 + 10c) + -6 = 2c + 6 Reorder the terms: -4 + -6 + 10c = 2c + 6 Combine like terms: -4 + -6 = -10 -10 + 10c = 2c + 6 Reorder the terms: -10 + 10c = 6 + 2c Solving -10 + 10c = 6 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -10 + 10c + -2c = 6 + 2c + -2c Combine like terms: 10c + -2c = 8c -10 + 8c = 6 + 2c + -2c Combine like terms: 2c + -2c = 0 -10 + 8c = 6 + 0 -10 + 8c = 6 Add '10' to each side of the equation. -10 + 10 + 8c = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 8c = 6 + 10 8c = 6 + 10 Combine like terms: 6 + 10 = 16 8c = 16 Divide each side by '8'. c = 2 Simplifying c = 2
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