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Simplifying 4z + -2(z + 6) = 7x + 8 Reorder the terms: 4z + -2(6 + z) = 7x + 8 4z + (6 * -2 + z * -2) = 7x + 8 4z + (-12 + -2z) = 7x + 8 Reorder the terms: -12 + 4z + -2z = 7x + 8 Combine like terms: 4z + -2z = 2z -12 + 2z = 7x + 8 Reorder the terms: -12 + 2z = 8 + 7x Solving -12 + 2z = 8 + 7x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2z = 8 + 12 + 7x Combine like terms: -12 + 12 = 0 0 + 2z = 8 + 12 + 7x 2z = 8 + 12 + 7x Combine like terms: 8 + 12 = 20 2z = 20 + 7x Divide each side by '2'. z = 10 + 3.5x Simplifying z = 10 + 3.5x
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