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Simplifying 5(z + -1) + -1(-2z + -4) = 6z Reorder the terms: 5(-1 + z) + -1(-2z + -4) = 6z (-1 * 5 + z * 5) + -1(-2z + -4) = 6z (-5 + 5z) + -1(-2z + -4) = 6z Reorder the terms: -5 + 5z + -1(-4 + -2z) = 6z -5 + 5z + (-4 * -1 + -2z * -1) = 6z -5 + 5z + (4 + 2z) = 6z Reorder the terms: -5 + 4 + 5z + 2z = 6z Combine like terms: -5 + 4 = -1 -1 + 5z + 2z = 6z Combine like terms: 5z + 2z = 7z -1 + 7z = 6z Solving -1 + 7z = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -1 + 7z + -6z = 6z + -6z Combine like terms: 7z + -6z = 1z -1 + 1z = 6z + -6z Combine like terms: 6z + -6z = 0 -1 + 1z = 0 Add '1' to each side of the equation. -1 + 1 + 1z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1z = 0 + 1 1z = 0 + 1 Combine like terms: 0 + 1 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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