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Simplifying 4z + -1(2 + 6) = 3z + -4 Combine like terms: 2 + 6 = 8 4z + -1(8) = 3z + -4 Multiply -1 * 8 4z + -8 = 3z + -4 Reorder the terms: -8 + 4z = 3z + -4 Reorder the terms: -8 + 4z = -4 + 3z Solving -8 + 4z = -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. -8 + 4z + -3z = -4 + 3z + -3z Combine like terms: 4z + -3z = 1z -8 + 1z = -4 + 3z + -3z Combine like terms: 3z + -3z = 0 -8 + 1z = -4 + 0 -8 + 1z = -4 Add '8' to each side of the equation. -8 + 8 + 1z = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = -4 + 8 1z = -4 + 8 Combine like terms: -4 + 8 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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