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Simplifying 4(3c + -2) = -38 + 6 Reorder the terms: 4(-2 + 3c) = -38 + 6 (-2 * 4 + 3c * 4) = -38 + 6 (-8 + 12c) = -38 + 6 Combine like terms: -38 + 6 = -32 -8 + 12c = -32 Solving -8 + 12c = -32 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12c = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 12c = -32 + 8 12c = -32 + 8 Combine like terms: -32 + 8 = -24 12c = -24 Divide each side by '12'. c = -2 Simplifying c = -2
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