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Simplifying 2(c + -2) + 7c = 2c + 8 Reorder the terms: 2(-2 + c) + 7c = 2c + 8 (-2 * 2 + c * 2) + 7c = 2c + 8 (-4 + 2c) + 7c = 2c + 8 Combine like terms: 2c + 7c = 9c -4 + 9c = 2c + 8 Reorder the terms: -4 + 9c = 8 + 2c Solving -4 + 9c = 8 + 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. -4 + 9c + -2c = 8 + 2c + -2c Combine like terms: 9c + -2c = 7c -4 + 7c = 8 + 2c + -2c Combine like terms: 2c + -2c = 0 -4 + 7c = 8 + 0 -4 + 7c = 8 Add '4' to each side of the equation. -4 + 4 + 7c = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 7c = 8 + 4 7c = 8 + 4 Combine like terms: 8 + 4 = 12 7c = 12 Divide each side by '7'. c = 1.714285714 Simplifying c = 1.714285714
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