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Simplifying 3(5c + -1) + -4 = 11c + -9 Reorder the terms: 3(-1 + 5c) + -4 = 11c + -9 (-1 * 3 + 5c * 3) + -4 = 11c + -9 (-3 + 15c) + -4 = 11c + -9 Reorder the terms: -3 + -4 + 15c = 11c + -9 Combine like terms: -3 + -4 = -7 -7 + 15c = 11c + -9 Reorder the terms: -7 + 15c = -9 + 11c Solving -7 + 15c = -9 + 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. -7 + 15c + -11c = -9 + 11c + -11c Combine like terms: 15c + -11c = 4c -7 + 4c = -9 + 11c + -11c Combine like terms: 11c + -11c = 0 -7 + 4c = -9 + 0 -7 + 4c = -9 Add '7' to each side of the equation. -7 + 7 + 4c = -9 + 7 Combine like terms: -7 + 7 = 0 0 + 4c = -9 + 7 4c = -9 + 7 Combine like terms: -9 + 7 = -2 4c = -2 Divide each side by '4'. c = -0.5 Simplifying c = -0.5
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