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Simplifying 6(9z + -12) = 9(5z + 11) Reorder the terms: 6(-12 + 9z) = 9(5z + 11) (-12 * 6 + 9z * 6) = 9(5z + 11) (-72 + 54z) = 9(5z + 11) Reorder the terms: -72 + 54z = 9(11 + 5z) -72 + 54z = (11 * 9 + 5z * 9) -72 + 54z = (99 + 45z) Solving -72 + 54z = 99 + 45z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-45z' to each side of the equation. -72 + 54z + -45z = 99 + 45z + -45z Combine like terms: 54z + -45z = 9z -72 + 9z = 99 + 45z + -45z Combine like terms: 45z + -45z = 0 -72 + 9z = 99 + 0 -72 + 9z = 99 Add '72' to each side of the equation. -72 + 72 + 9z = 99 + 72 Combine like terms: -72 + 72 = 0 0 + 9z = 99 + 72 9z = 99 + 72 Combine like terms: 99 + 72 = 171 9z = 171 Divide each side by '9'. z = 19 Simplifying z = 19
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