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Simplifying 5z + -1(2z + -6) = 5z + -4 Reorder the terms: 5z + -1(-6 + 2z) = 5z + -4 5z + (-6 * -1 + 2z * -1) = 5z + -4 5z + (6 + -2z) = 5z + -4 Reorder the terms: 6 + 5z + -2z = 5z + -4 Combine like terms: 5z + -2z = 3z 6 + 3z = 5z + -4 Reorder the terms: 6 + 3z = -4 + 5z Solving 6 + 3z = -4 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 6 + 3z + -5z = -4 + 5z + -5z Combine like terms: 3z + -5z = -2z 6 + -2z = -4 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + -2z = -4 + 0 6 + -2z = -4 Add '-6' to each side of the equation. 6 + -6 + -2z = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -2z = -4 + -6 -2z = -4 + -6 Combine like terms: -4 + -6 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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