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Simplifying 21 + 9c = 4(7c + -3) Reorder the terms: 21 + 9c = 4(-3 + 7c) 21 + 9c = (-3 * 4 + 7c * 4) 21 + 9c = (-12 + 28c) Solving 21 + 9c = -12 + 28c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28c' to each side of the equation. 21 + 9c + -28c = -12 + 28c + -28c Combine like terms: 9c + -28c = -19c 21 + -19c = -12 + 28c + -28c Combine like terms: 28c + -28c = 0 21 + -19c = -12 + 0 21 + -19c = -12 Add '-21' to each side of the equation. 21 + -21 + -19c = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -19c = -12 + -21 -19c = -12 + -21 Combine like terms: -12 + -21 = -33 -19c = -33 Divide each side by '-19'. c = 1.736842105 Simplifying c = 1.736842105
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