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Simplifying 6(z + -72) = 9(z + -99) Reorder the terms: 6(-72 + z) = 9(z + -99) (-72 * 6 + z * 6) = 9(z + -99) (-432 + 6z) = 9(z + -99) Reorder the terms: -432 + 6z = 9(-99 + z) -432 + 6z = (-99 * 9 + z * 9) -432 + 6z = (-891 + 9z) Solving -432 + 6z = -891 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -432 + 6z + -9z = -891 + 9z + -9z Combine like terms: 6z + -9z = -3z -432 + -3z = -891 + 9z + -9z Combine like terms: 9z + -9z = 0 -432 + -3z = -891 + 0 -432 + -3z = -891 Add '432' to each side of the equation. -432 + 432 + -3z = -891 + 432 Combine like terms: -432 + 432 = 0 0 + -3z = -891 + 432 -3z = -891 + 432 Combine like terms: -891 + 432 = -459 -3z = -459 Divide each side by '-3'. z = 153 Simplifying z = 153
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