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Simplifying -5(4z + 3) + 6(z + -2) = 0 Reorder the terms: -5(3 + 4z) + 6(z + -2) = 0 (3 * -5 + 4z * -5) + 6(z + -2) = 0 (-15 + -20z) + 6(z + -2) = 0 Reorder the terms: -15 + -20z + 6(-2 + z) = 0 -15 + -20z + (-2 * 6 + z * 6) = 0 -15 + -20z + (-12 + 6z) = 0 Reorder the terms: -15 + -12 + -20z + 6z = 0 Combine like terms: -15 + -12 = -27 -27 + -20z + 6z = 0 Combine like terms: -20z + 6z = -14z -27 + -14z = 0 Solving -27 + -14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -14z = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -14z = 0 + 27 -14z = 0 + 27 Combine like terms: 0 + 27 = 27 -14z = 27 Divide each side by '-14'. z = -1.928571429 Simplifying z = -1.928571429
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