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Simplifying c + 10 = 7(3c + -6) Reorder the terms: 10 + c = 7(3c + -6) Reorder the terms: 10 + c = 7(-6 + 3c) 10 + c = (-6 * 7 + 3c * 7) 10 + c = (-42 + 21c) Solving 10 + c = -42 + 21c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21c' to each side of the equation. 10 + c + -21c = -42 + 21c + -21c Combine like terms: c + -21c = -20c 10 + -20c = -42 + 21c + -21c Combine like terms: 21c + -21c = 0 10 + -20c = -42 + 0 10 + -20c = -42 Add '-10' to each side of the equation. 10 + -10 + -20c = -42 + -10 Combine like terms: 10 + -10 = 0 0 + -20c = -42 + -10 -20c = -42 + -10 Combine like terms: -42 + -10 = -52 -20c = -52 Divide each side by '-20'. c = 2.6 Simplifying c = 2.6
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