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Simplifying 6(3 + -1z) * 5 = -1z Reorder the terms for easier multiplication: 6 * 5(3 + -1z) = -1z Multiply 6 * 5 30(3 + -1z) = -1z (3 * 30 + -1z * 30) = -1z (90 + -30z) = -1z Solving 90 + -30z = -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. 90 + -30z + z = -1z + z Combine like terms: -30z + z = -29z 90 + -29z = -1z + z Combine like terms: -1z + z = 0 90 + -29z = 0 Add '-90' to each side of the equation. 90 + -90 + -29z = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -29z = 0 + -90 -29z = 0 + -90 Combine like terms: 0 + -90 = -90 -29z = -90 Divide each side by '-29'. z = 3.103448276 Simplifying z = 3.103448276
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