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Simplifying 8(5c + -2) = 2(32 + 4c) Reorder the terms: 8(-2 + 5c) = 2(32 + 4c) (-2 * 8 + 5c * 8) = 2(32 + 4c) (-16 + 40c) = 2(32 + 4c) -16 + 40c = (32 * 2 + 4c * 2) -16 + 40c = (64 + 8c) Solving -16 + 40c = 64 + 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. -16 + 40c + -8c = 64 + 8c + -8c Combine like terms: 40c + -8c = 32c -16 + 32c = 64 + 8c + -8c Combine like terms: 8c + -8c = 0 -16 + 32c = 64 + 0 -16 + 32c = 64 Add '16' to each side of the equation. -16 + 16 + 32c = 64 + 16 Combine like terms: -16 + 16 = 0 0 + 32c = 64 + 16 32c = 64 + 16 Combine like terms: 64 + 16 = 80 32c = 80 Divide each side by '32'. c = 2.5 Simplifying c = 2.5
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