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Simplifying 5(3c + -1) + -3 = 11c + 4 Reorder the terms: 5(-1 + 3c) + -3 = 11c + 4 (-1 * 5 + 3c * 5) + -3 = 11c + 4 (-5 + 15c) + -3 = 11c + 4 Reorder the terms: -5 + -3 + 15c = 11c + 4 Combine like terms: -5 + -3 = -8 -8 + 15c = 11c + 4 Reorder the terms: -8 + 15c = 4 + 11c Solving -8 + 15c = 4 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. -8 + 15c + -11c = 4 + 11c + -11c Combine like terms: 15c + -11c = 4c -8 + 4c = 4 + 11c + -11c Combine like terms: 11c + -11c = 0 -8 + 4c = 4 + 0 -8 + 4c = 4 Add '8' to each side of the equation. -8 + 8 + 4c = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 4c = 4 + 8 4c = 4 + 8 Combine like terms: 4 + 8 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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