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Simplifying 4(z + -1) = 2z + -1 Reorder the terms: 4(-1 + z) = 2z + -1 (-1 * 4 + z * 4) = 2z + -1 (-4 + 4z) = 2z + -1 Reorder the terms: -4 + 4z = -1 + 2z Solving -4 + 4z = -1 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -4 + 4z + -2z = -1 + 2z + -2z Combine like terms: 4z + -2z = 2z -4 + 2z = -1 + 2z + -2z Combine like terms: 2z + -2z = 0 -4 + 2z = -1 + 0 -4 + 2z = -1 Add '4' to each side of the equation. -4 + 4 + 2z = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 2z = -1 + 4 2z = -1 + 4 Combine like terms: -1 + 4 = 3 2z = 3 Divide each side by '2'. z = 1.5 Simplifying z = 1.5
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