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Simplifying 5(6c + -8) = 2c + 1 Reorder the terms: 5(-8 + 6c) = 2c + 1 (-8 * 5 + 6c * 5) = 2c + 1 (-40 + 30c) = 2c + 1 Reorder the terms: -40 + 30c = 1 + 2c Solving -40 + 30c = 1 + 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 + 30c + -2c = 1 + 2c + -2c Combine like terms: 30c + -2c = 28c -40 + 28c = 1 + 2c + -2c Combine like terms: 2c + -2c = 0 -40 + 28c = 1 + 0 -40 + 28c = 1 Add '40' to each side of the equation. -40 + 40 + 28c = 1 + 40 Combine like terms: -40 + 40 = 0 0 + 28c = 1 + 40 28c = 1 + 40 Combine like terms: 1 + 40 = 41 28c = 41 Divide each side by '28'. c = 1.464285714 Simplifying c = 1.464285714
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