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Simplifying 21 + -8c = -9(5c + 3) Reorder the terms: 21 + -8c = -9(3 + 5c) 21 + -8c = (3 * -9 + 5c * -9) 21 + -8c = (-27 + -45c) Solving 21 + -8c = -27 + -45c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '45c' to each side of the equation. 21 + -8c + 45c = -27 + -45c + 45c Combine like terms: -8c + 45c = 37c 21 + 37c = -27 + -45c + 45c Combine like terms: -45c + 45c = 0 21 + 37c = -27 + 0 21 + 37c = -27 Add '-21' to each side of the equation. 21 + -21 + 37c = -27 + -21 Combine like terms: 21 + -21 = 0 0 + 37c = -27 + -21 37c = -27 + -21 Combine like terms: -27 + -21 = -48 37c = -48 Divide each side by '37'. c = -1.297297297 Simplifying c = -1.297297297
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