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Simplifying 4z + -1(2z + 6) = 3z + -4 Reorder the terms: 4z + -1(6 + 2z) = 3z + -4 4z + (6 * -1 + 2z * -1) = 3z + -4 4z + (-6 + -2z) = 3z + -4 Reorder the terms: -6 + 4z + -2z = 3z + -4 Combine like terms: 4z + -2z = 2z -6 + 2z = 3z + -4 Reorder the terms: -6 + 2z = -4 + 3z Solving -6 + 2z = -4 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -6 + 2z + -3z = -4 + 3z + -3z Combine like terms: 2z + -3z = -1z -6 + -1z = -4 + 3z + -3z Combine like terms: 3z + -3z = 0 -6 + -1z = -4 + 0 -6 + -1z = -4 Add '6' to each side of the equation. -6 + 6 + -1z = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -1z = -4 + 6 -1z = -4 + 6 Combine like terms: -4 + 6 = 2 -1z = 2 Divide each side by '-1'. z = -2 Simplifying z = -2
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