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Simplifying -1(4z + 1) = -6(-5 + z) Reorder the terms: -1(1 + 4z) = -6(-5 + z) (1 * -1 + 4z * -1) = -6(-5 + z) (-1 + -4z) = -6(-5 + z) -1 + -4z = (-5 * -6 + z * -6) -1 + -4z = (30 + -6z) Solving -1 + -4z = 30 + -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 + -4z + 6z = 30 + -6z + 6z Combine like terms: -4z + 6z = 2z -1 + 2z = 30 + -6z + 6z Combine like terms: -6z + 6z = 0 -1 + 2z = 30 + 0 -1 + 2z = 30 Add '1' to each side of the equation. -1 + 1 + 2z = 30 + 1 Combine like terms: -1 + 1 = 0 0 + 2z = 30 + 1 2z = 30 + 1 Combine like terms: 30 + 1 = 31 2z = 31 Divide each side by '2'. z = 15.5 Simplifying z = 15.5
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