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Simplifying -6 = 6(2c + 7) Reorder the terms: -6 = 6(7 + 2c) -6 = (7 * 6 + 2c * 6) -6 = (42 + 12c) Solving -6 = 42 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -6 + -12c = 42 + 12c + -12c Combine like terms: 12c + -12c = 0 -6 + -12c = 42 + 0 -6 + -12c = 42 Add '6' to each side of the equation. -6 + 6 + -12c = 42 + 6 Combine like terms: -6 + 6 = 0 0 + -12c = 42 + 6 -12c = 42 + 6 Combine like terms: 42 + 6 = 48 -12c = 48 Divide each side by '-12'. c = -4 Simplifying c = -4
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