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Simplifying 4(3z + -4) = 8z + -6 Reorder the terms: 4(-4 + 3z) = 8z + -6 (-4 * 4 + 3z * 4) = 8z + -6 (-16 + 12z) = 8z + -6 Reorder the terms: -16 + 12z = -6 + 8z Solving -16 + 12z = -6 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -16 + 12z + -8z = -6 + 8z + -8z Combine like terms: 12z + -8z = 4z -16 + 4z = -6 + 8z + -8z Combine like terms: 8z + -8z = 0 -16 + 4z = -6 + 0 -16 + 4z = -6 Add '16' to each side of the equation. -16 + 16 + 4z = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 4z = -6 + 16 4z = -6 + 16 Combine like terms: -6 + 16 = 10 4z = 10 Divide each side by '4'. z = 2.5 Simplifying z = 2.5
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