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Simplifying -42 = 6(3c + -1) Reorder the terms: -42 = 6(-1 + 3c) -42 = (-1 * 6 + 3c * 6) -42 = (-6 + 18c) Solving -42 = -6 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. -42 + -18c = -6 + 18c + -18c Combine like terms: 18c + -18c = 0 -42 + -18c = -6 + 0 -42 + -18c = -6 Add '42' to each side of the equation. -42 + 42 + -18c = -6 + 42 Combine like terms: -42 + 42 = 0 0 + -18c = -6 + 42 -18c = -6 + 42 Combine like terms: -6 + 42 = 36 -18c = 36 Divide each side by '-18'. c = -2 Simplifying c = -2
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