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Simplifying 7(2c + -6) + 4 = 32 Reorder the terms: 7(-6 + 2c) + 4 = 32 (-6 * 7 + 2c * 7) + 4 = 32 (-42 + 14c) + 4 = 32 Reorder the terms: -42 + 4 + 14c = 32 Combine like terms: -42 + 4 = -38 -38 + 14c = 32 Solving -38 + 14c = 32 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 14c = 32 + 38 Combine like terms: -38 + 38 = 0 0 + 14c = 32 + 38 14c = 32 + 38 Combine like terms: 32 + 38 = 70 14c = 70 Divide each side by '14'. c = 5 Simplifying c = 5
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