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Simplifying 2(3c + -4) = 8c + 1 Reorder the terms: 2(-4 + 3c) = 8c + 1 (-4 * 2 + 3c * 2) = 8c + 1 (-8 + 6c) = 8c + 1 Reorder the terms: -8 + 6c = 1 + 8c Solving -8 + 6c = 1 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -8 + 6c + -8c = 1 + 8c + -8c Combine like terms: 6c + -8c = -2c -8 + -2c = 1 + 8c + -8c Combine like terms: 8c + -8c = 0 -8 + -2c = 1 + 0 -8 + -2c = 1 Add '8' to each side of the equation. -8 + 8 + -2c = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -2c = 1 + 8 -2c = 1 + 8 Combine like terms: 1 + 8 = 9 -2c = 9 Divide each side by '-2'. c = -4.5 Simplifying c = -4.5
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