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Simplifying -5(3 + -1z) = -1z + 1 (3 * -5 + -1z * -5) = -1z + 1 (-15 + 5z) = -1z + 1 Reorder the terms: -15 + 5z = 1 + -1z Solving -15 + 5z = 1 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -15 + 5z + z = 1 + -1z + z Combine like terms: 5z + z = 6z -15 + 6z = 1 + -1z + z Combine like terms: -1z + z = 0 -15 + 6z = 1 + 0 -15 + 6z = 1 Add '15' to each side of the equation. -15 + 15 + 6z = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 6z = 1 + 15 6z = 1 + 15 Combine like terms: 1 + 15 = 16 6z = 16 Divide each side by '6'. z = 2.666666667 Simplifying z = 2.666666667
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