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Simplifying -4(8c + 2) + -52 = 100 Reorder the terms: -4(2 + 8c) + -52 = 100 (2 * -4 + 8c * -4) + -52 = 100 (-8 + -32c) + -52 = 100 Reorder the terms: -8 + -52 + -32c = 100 Combine like terms: -8 + -52 = -60 -60 + -32c = 100 Solving -60 + -32c = 100 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -32c = 100 + 60 Combine like terms: -60 + 60 = 0 0 + -32c = 100 + 60 -32c = 100 + 60 Combine like terms: 100 + 60 = 160 -32c = 160 Divide each side by '-32'. c = -5 Simplifying c = -5
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