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Simplifying 7(2 + -1z) * 5 = -1z Reorder the terms for easier multiplication: 7 * 5(2 + -1z) = -1z Multiply 7 * 5 35(2 + -1z) = -1z (2 * 35 + -1z * 35) = -1z (70 + -35z) = -1z Solving 70 + -35z = -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. 70 + -35z + z = -1z + z Combine like terms: -35z + z = -34z 70 + -34z = -1z + z Combine like terms: -1z + z = 0 70 + -34z = 0 Add '-70' to each side of the equation. 70 + -70 + -34z = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -34z = 0 + -70 -34z = 0 + -70 Combine like terms: 0 + -70 = -70 -34z = -70 Divide each side by '-34'. z = 2.058823529 Simplifying z = 2.058823529
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