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Simplifying 44 + -1(3c + 4) = 4(c + 6) Reorder the terms: 44 + -1(4 + 3c) = 4(c + 6) 44 + (4 * -1 + 3c * -1) = 4(c + 6) 44 + (-4 + -3c) = 4(c + 6) Combine like terms: 44 + -4 = 40 40 + -3c = 4(c + 6) Reorder the terms: 40 + -3c = 4(6 + c) 40 + -3c = (6 * 4 + c * 4) 40 + -3c = (24 + 4c) Solving 40 + -3c = 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. 40 + -3c + -4c = 24 + 4c + -4c Combine like terms: -3c + -4c = -7c 40 + -7c = 24 + 4c + -4c Combine like terms: 4c + -4c = 0 40 + -7c = 24 + 0 40 + -7c = 24 Add '-40' to each side of the equation. 40 + -40 + -7c = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -7c = 24 + -40 -7c = 24 + -40 Combine like terms: 24 + -40 = -16 -7c = -16 Divide each side by '-7'. c = 2.285714286 Simplifying c = 2.285714286
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