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Simplifying 5c + 21 = 3(c + -4) Reorder the terms: 21 + 5c = 3(c + -4) Reorder the terms: 21 + 5c = 3(-4 + c) 21 + 5c = (-4 * 3 + c * 3) 21 + 5c = (-12 + 3c) Solving 21 + 5c = -12 + 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. 21 + 5c + -3c = -12 + 3c + -3c Combine like terms: 5c + -3c = 2c 21 + 2c = -12 + 3c + -3c Combine like terms: 3c + -3c = 0 21 + 2c = -12 + 0 21 + 2c = -12 Add '-21' to each side of the equation. 21 + -21 + 2c = -12 + -21 Combine like terms: 21 + -21 = 0 0 + 2c = -12 + -21 2c = -12 + -21 Combine like terms: -12 + -21 = -33 2c = -33 Divide each side by '2'. c = -16.5 Simplifying c = -16.5
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