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Simplifying -9(2z + -7) = -26.5 + -4z Reorder the terms: -9(-7 + 2z) = -26.5 + -4z (-7 * -9 + 2z * -9) = -26.5 + -4z (63 + -18z) = -26.5 + -4z Solving 63 + -18z = -26.5 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 63 + -18z + 4z = -26.5 + -4z + 4z Combine like terms: -18z + 4z = -14z 63 + -14z = -26.5 + -4z + 4z Combine like terms: -4z + 4z = 0 63 + -14z = -26.5 + 0 63 + -14z = -26.5 Add '-63' to each side of the equation. 63 + -63 + -14z = -26.5 + -63 Combine like terms: 63 + -63 = 0 0 + -14z = -26.5 + -63 -14z = -26.5 + -63 Combine like terms: -26.5 + -63 = -89.5 -14z = -89.5 Divide each side by '-14'. z = 6.392857143 Simplifying z = 6.392857143
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