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Simplifying 20(-8 + 1) = (c * -8) + (20 * 1) Combine like terms: -8 + 1 = -7 20(-7) = (c * -8) + (20 * 1) Multiply 20 * -7 -140 = (c * -8) + (20 * 1) Reorder the terms for easier multiplication: -140 = (-8c) + (20 * 1) Multiply 20 * 1 -140 = (-8c) + (20) -140 = (-8c) + 20 Reorder the terms: -140 = 20 + (-8c) Solving -140 = 20 + (-8c) Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '(8c)' to each side of the equation. -140 + (8c) = 20 + (-8c) + (8c) Combine like terms: (-8c) + (8c) = 0 -140 + (8c) = 20 + 0 -140 + (8c) = 20 Add '140' to each side of the equation. -140 + 140 + (8c) = 20 + 140 Combine like terms: -140 + 140 = 0 0 + (8c) = 20 + 140 (8c) = 20 + 140 Combine like terms: 20 + 140 = 160 (8c) = 160 Divide each side by '8'. c = 20 Simplifying c = 20
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