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Simplifying 4(c + -10) = 2c + 206 Reorder the terms: 4(-10 + c) = 2c + 206 (-10 * 4 + c * 4) = 2c + 206 (-40 + 4c) = 2c + 206 Reorder the terms: -40 + 4c = 206 + 2c Solving -40 + 4c = 206 + 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. -40 + 4c + -2c = 206 + 2c + -2c Combine like terms: 4c + -2c = 2c -40 + 2c = 206 + 2c + -2c Combine like terms: 2c + -2c = 0 -40 + 2c = 206 + 0 -40 + 2c = 206 Add '40' to each side of the equation. -40 + 40 + 2c = 206 + 40 Combine like terms: -40 + 40 = 0 0 + 2c = 206 + 40 2c = 206 + 40 Combine like terms: 206 + 40 = 246 2c = 246 Divide each side by '2'. c = 123 Simplifying c = 123
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