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Simplifying 2z + -7(5z + -2) = 6(6z + -1) Reorder the terms: 2z + -7(-2 + 5z) = 6(6z + -1) 2z + (-2 * -7 + 5z * -7) = 6(6z + -1) 2z + (14 + -35z) = 6(6z + -1) Reorder the terms: 14 + 2z + -35z = 6(6z + -1) Combine like terms: 2z + -35z = -33z 14 + -33z = 6(6z + -1) Reorder the terms: 14 + -33z = 6(-1 + 6z) 14 + -33z = (-1 * 6 + 6z * 6) 14 + -33z = (-6 + 36z) Solving 14 + -33z = -6 + 36z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36z' to each side of the equation. 14 + -33z + -36z = -6 + 36z + -36z Combine like terms: -33z + -36z = -69z 14 + -69z = -6 + 36z + -36z Combine like terms: 36z + -36z = 0 14 + -69z = -6 + 0 14 + -69z = -6 Add '-14' to each side of the equation. 14 + -14 + -69z = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -69z = -6 + -14 -69z = -6 + -14 Combine like terms: -6 + -14 = -20 -69z = -20 Divide each side by '-69'. z = 0.2898550725 Simplifying z = 0.2898550725
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