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Simplifying 6 + 5c = 3(3c + -10) Reorder the terms: 6 + 5c = 3(-10 + 3c) 6 + 5c = (-10 * 3 + 3c * 3) 6 + 5c = (-30 + 9c) Solving 6 + 5c = -30 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 6 + 5c + -9c = -30 + 9c + -9c Combine like terms: 5c + -9c = -4c 6 + -4c = -30 + 9c + -9c Combine like terms: 9c + -9c = 0 6 + -4c = -30 + 0 6 + -4c = -30 Add '-6' to each side of the equation. 6 + -6 + -4c = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -4c = -30 + -6 -4c = -30 + -6 Combine like terms: -30 + -6 = -36 -4c = -36 Divide each side by '-4'. c = 9 Simplifying c = 9
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