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Simplifying 33 = -9 + 6(c + -7) Reorder the terms: 33 = -9 + 6(-7 + c) 33 = -9 + (-7 * 6 + c * 6) 33 = -9 + (-42 + 6c) Combine like terms: -9 + -42 = -51 33 = -51 + 6c Solving 33 = -51 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 33 + -6c = -51 + 6c + -6c Combine like terms: 6c + -6c = 0 33 + -6c = -51 + 0 33 + -6c = -51 Add '-33' to each side of the equation. 33 + -33 + -6c = -51 + -33 Combine like terms: 33 + -33 = 0 0 + -6c = -51 + -33 -6c = -51 + -33 Combine like terms: -51 + -33 = -84 -6c = -84 Divide each side by '-6'. c = 14 Simplifying c = 14
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