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Simplifying -2c + 6 = 2(5c + -3) Reorder the terms: 6 + -2c = 2(5c + -3) Reorder the terms: 6 + -2c = 2(-3 + 5c) 6 + -2c = (-3 * 2 + 5c * 2) 6 + -2c = (-6 + 10c) Solving 6 + -2c = -6 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 6 + -2c + -10c = -6 + 10c + -10c Combine like terms: -2c + -10c = -12c 6 + -12c = -6 + 10c + -10c Combine like terms: 10c + -10c = 0 6 + -12c = -6 + 0 6 + -12c = -6 Add '-6' to each side of the equation. 6 + -6 + -12c = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -12c = -6 + -6 -12c = -6 + -6 Combine like terms: -6 + -6 = -12 -12c = -12 Divide each side by '-12'. c = 1 Simplifying c = 1
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