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Simplifying 2(z + -4) = z + 8 + -3z Reorder the terms: 2(-4 + z) = z + 8 + -3z (-4 * 2 + z * 2) = z + 8 + -3z (-8 + 2z) = z + 8 + -3z Reorder the terms: -8 + 2z = 8 + z + -3z Combine like terms: z + -3z = -2z -8 + 2z = 8 + -2z Solving -8 + 2z = 8 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -8 + 2z + 2z = 8 + -2z + 2z Combine like terms: 2z + 2z = 4z -8 + 4z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 -8 + 4z = 8 + 0 -8 + 4z = 8 Add '8' to each side of the equation. -8 + 8 + 4z = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = 8 + 8 4z = 8 + 8 Combine like terms: 8 + 8 = 16 4z = 16 Divide each side by '4'. z = 4 Simplifying z = 4
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