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Simplifying 7(8 + -1z) * 6 = -1z Reorder the terms for easier multiplication: 7 * 6(8 + -1z) = -1z Multiply 7 * 6 42(8 + -1z) = -1z (8 * 42 + -1z * 42) = -1z (336 + -42z) = -1z Solving 336 + -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. 336 + -42z + z = -1z + z Combine like terms: -42z + z = -41z 336 + -41z = -1z + z Combine like terms: -1z + z = 0 336 + -41z = 0 Add '-336' to each side of the equation. 336 + -336 + -41z = 0 + -336 Combine like terms: 336 + -336 = 0 0 + -41z = 0 + -336 -41z = 0 + -336 Combine like terms: 0 + -336 = -336 -41z = -336 Divide each side by '-41'. z = 8.195121951 Simplifying z = 8.195121951
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