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Simplifying -1 + 6(9z + -8) = 9(z + -6) + -9 Reorder the terms: -1 + 6(-8 + 9z) = 9(z + -6) + -9 -1 + (-8 * 6 + 9z * 6) = 9(z + -6) + -9 -1 + (-48 + 54z) = 9(z + -6) + -9 Combine like terms: -1 + -48 = -49 -49 + 54z = 9(z + -6) + -9 Reorder the terms: -49 + 54z = 9(-6 + z) + -9 -49 + 54z = (-6 * 9 + z * 9) + -9 -49 + 54z = (-54 + 9z) + -9 Reorder the terms: -49 + 54z = -54 + -9 + 9z Combine like terms: -54 + -9 = -63 -49 + 54z = -63 + 9z Solving -49 + 54z = -63 + 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. -49 + 54z + -9z = -63 + 9z + -9z Combine like terms: 54z + -9z = 45z -49 + 45z = -63 + 9z + -9z Combine like terms: 9z + -9z = 0 -49 + 45z = -63 + 0 -49 + 45z = -63 Add '49' to each side of the equation. -49 + 49 + 45z = -63 + 49 Combine like terms: -49 + 49 = 0 0 + 45z = -63 + 49 45z = -63 + 49 Combine like terms: -63 + 49 = -14 45z = -14 Divide each side by '45'. z = -0.3111111111 Simplifying z = -0.3111111111
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