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Simplifying 8(c * 4) + -4(x * 4) = 4x + 16 Reorder the terms for easier multiplication: 8(4c) + -4(x * 4) = 4x + 16 Remove parenthesis around (4c) 8 * 4c + -4(x * 4) = 4x + 16 Multiply 8 * 4 32c + -4(x * 4) = 4x + 16 Reorder the terms for easier multiplication: 32c + -4(4x) = 4x + 16 Remove parenthesis around (4x) 32c + -4 * 4x = 4x + 16 Multiply -4 * 4 32c + -16x = 4x + 16 Reorder the terms: 32c + -16x = 16 + 4x Solving 32c + -16x = 16 + 4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16x' to each side of the equation. 32c + -16x + 16x = 16 + 4x + 16x Combine like terms: -16x + 16x = 0 32c + 0 = 16 + 4x + 16x 32c = 16 + 4x + 16x Combine like terms: 4x + 16x = 20x 32c = 16 + 20x Divide each side by '32'. c = 0.5 + 0.625x Simplifying c = 0.5 + 0.625x
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