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Simplifying 44(3c + -4) = 4(c + 6) + c Reorder the terms: 44(-4 + 3c) = 4(c + 6) + c (-4 * 44 + 3c * 44) = 4(c + 6) + c (-176 + 132c) = 4(c + 6) + c Reorder the terms: -176 + 132c = 4(6 + c) + c -176 + 132c = (6 * 4 + c * 4) + c -176 + 132c = (24 + 4c) + c Combine like terms: 4c + c = 5c -176 + 132c = 24 + 5c Solving -176 + 132c = 24 + 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. -176 + 132c + -5c = 24 + 5c + -5c Combine like terms: 132c + -5c = 127c -176 + 127c = 24 + 5c + -5c Combine like terms: 5c + -5c = 0 -176 + 127c = 24 + 0 -176 + 127c = 24 Add '176' to each side of the equation. -176 + 176 + 127c = 24 + 176 Combine like terms: -176 + 176 = 0 0 + 127c = 24 + 176 127c = 24 + 176 Combine like terms: 24 + 176 = 200 127c = 200 Divide each side by '127'. c = 1.57480315 Simplifying c = 1.57480315
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