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Simplifying 2(3c + -4) + 3 = 5c + 1 Reorder the terms: 2(-4 + 3c) + 3 = 5c + 1 (-4 * 2 + 3c * 2) + 3 = 5c + 1 (-8 + 6c) + 3 = 5c + 1 Reorder the terms: -8 + 3 + 6c = 5c + 1 Combine like terms: -8 + 3 = -5 -5 + 6c = 5c + 1 Reorder the terms: -5 + 6c = 1 + 5c Solving -5 + 6c = 1 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -5 + 6c + -5c = 1 + 5c + -5c Combine like terms: 6c + -5c = 1c -5 + 1c = 1 + 5c + -5c Combine like terms: 5c + -5c = 0 -5 + 1c = 1 + 0 -5 + 1c = 1 Add '5' to each side of the equation. -5 + 5 + 1c = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 1c = 1 + 5 1c = 1 + 5 Combine like terms: 1 + 5 = 6 1c = 6 Divide each side by '1'. c = 6 Simplifying c = 6
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