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Simplifying 3(c + -2) + 7c = 2c + 8 Reorder the terms: 3(-2 + c) + 7c = 2c + 8 (-2 * 3 + c * 3) + 7c = 2c + 8 (-6 + 3c) + 7c = 2c + 8 Combine like terms: 3c + 7c = 10c -6 + 10c = 2c + 8 Reorder the terms: -6 + 10c = 8 + 2c Solving -6 + 10c = 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. -6 + 10c + -2c = 8 + 2c + -2c Combine like terms: 10c + -2c = 8c -6 + 8c = 8 + 2c + -2c Combine like terms: 2c + -2c = 0 -6 + 8c = 8 + 0 -6 + 8c = 8 Add '6' to each side of the equation. -6 + 6 + 8c = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 8c = 8 + 6 8c = 8 + 6 Combine like terms: 8 + 6 = 14 8c = 14 Divide each side by '8'. c = 1.75 Simplifying c = 1.75
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