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Simplifying 5c + -3 + -4(3c + 1) = 4(c + 6) Reorder the terms: 5c + -3 + -4(1 + 3c) = 4(c + 6) 5c + -3 + (1 * -4 + 3c * -4) = 4(c + 6) 5c + -3 + (-4 + -12c) = 4(c + 6) Reorder the terms: -3 + -4 + 5c + -12c = 4(c + 6) Combine like terms: -3 + -4 = -7 -7 + 5c + -12c = 4(c + 6) Combine like terms: 5c + -12c = -7c -7 + -7c = 4(c + 6) Reorder the terms: -7 + -7c = 4(6 + c) -7 + -7c = (6 * 4 + c * 4) -7 + -7c = (24 + 4c) Solving -7 + -7c = 24 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -7 + -7c + -4c = 24 + 4c + -4c Combine like terms: -7c + -4c = -11c -7 + -11c = 24 + 4c + -4c Combine like terms: 4c + -4c = 0 -7 + -11c = 24 + 0 -7 + -11c = 24 Add '7' to each side of the equation. -7 + 7 + -11c = 24 + 7 Combine like terms: -7 + 7 = 0 0 + -11c = 24 + 7 -11c = 24 + 7 Combine like terms: 24 + 7 = 31 -11c = 31 Divide each side by '-11'. c = -2.818181818 Simplifying c = -2.818181818
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