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Simplifying 7(3 + -1z) * 6 = -1z Reorder the terms for easier multiplication: 7 * 6(3 + -1z) = -1z Multiply 7 * 6 42(3 + -1z) = -1z (3 * 42 + -1z * 42) = -1z (126 + -42z) = -1z Solving 126 + -42z = -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. 126 + -42z + z = -1z + z Combine like terms: -42z + z = -41z 126 + -41z = -1z + z Combine like terms: -1z + z = 0 126 + -41z = 0 Add '-126' to each side of the equation. 126 + -126 + -41z = 0 + -126 Combine like terms: 126 + -126 = 0 0 + -41z = 0 + -126 -41z = 0 + -126 Combine like terms: 0 + -126 = -126 -41z = -126 Divide each side by '-41'. z = 3.073170732 Simplifying z = 3.073170732
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