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Simplifying -7(c + 6) = 3(-8 + c) Reorder the terms: -7(6 + c) = 3(-8 + c) (6 * -7 + c * -7) = 3(-8 + c) (-42 + -7c) = 3(-8 + c) -42 + -7c = (-8 * 3 + c * 3) -42 + -7c = (-24 + 3c) Solving -42 + -7c = -24 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -42 + -7c + -3c = -24 + 3c + -3c Combine like terms: -7c + -3c = -10c -42 + -10c = -24 + 3c + -3c Combine like terms: 3c + -3c = 0 -42 + -10c = -24 + 0 -42 + -10c = -24 Add '42' to each side of the equation. -42 + 42 + -10c = -24 + 42 Combine like terms: -42 + 42 = 0 0 + -10c = -24 + 42 -10c = -24 + 42 Combine like terms: -24 + 42 = 18 -10c = 18 Divide each side by '-10'. c = -1.8 Simplifying c = -1.8
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