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Simplifying 5 + -4c = -3(c + 9) Reorder the terms: 5 + -4c = -3(9 + c) 5 + -4c = (9 * -3 + c * -3) 5 + -4c = (-27 + -3c) Solving 5 + -4c = -27 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 5 + -4c + 3c = -27 + -3c + 3c Combine like terms: -4c + 3c = -1c 5 + -1c = -27 + -3c + 3c Combine like terms: -3c + 3c = 0 5 + -1c = -27 + 0 5 + -1c = -27 Add '-5' to each side of the equation. 5 + -5 + -1c = -27 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = -27 + -5 -1c = -27 + -5 Combine like terms: -27 + -5 = -32 -1c = -32 Divide each side by '-1'. c = 32 Simplifying c = 32
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