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Simplifying 3(5 + -1z) = -1z (5 * 3 + -1z * 3) = -1z (15 + -3z) = -1z Solving 15 + -3z = -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 + -3z + z = -1z + z Combine like terms: -3z + z = -2z 15 + -2z = -1z + z Combine like terms: -1z + z = 0 15 + -2z = 0 Add '-15' to each side of the equation. 15 + -15 + -2z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2z = 0 + -15 -2z = 0 + -15 Combine like terms: 0 + -15 = -15 -2z = -15 Divide each side by '-2'. z = 7.5 Simplifying z = 7.5
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