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Simplifying 2(z + -4) = 4(2x + 1) Reorder the terms: 2(-4 + z) = 4(2x + 1) (-4 * 2 + z * 2) = 4(2x + 1) (-8 + 2z) = 4(2x + 1) Reorder the terms: -8 + 2z = 4(1 + 2x) -8 + 2z = (1 * 4 + 2x * 4) -8 + 2z = (4 + 8x) Solving -8 + 2z = 4 + 8x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2z = 4 + 8 + 8x Combine like terms: -8 + 8 = 0 0 + 2z = 4 + 8 + 8x 2z = 4 + 8 + 8x Combine like terms: 4 + 8 = 12 2z = 12 + 8x Divide each side by '2'. z = 6 + 4x Simplifying z = 6 + 4x
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