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Simplifying 6(z + 9) + -6q = 4(6z + -8) Reorder the terms: 6(9 + z) + -6q = 4(6z + -8) (9 * 6 + z * 6) + -6q = 4(6z + -8) (54 + 6z) + -6q = 4(6z + -8) Reorder the terms: 54 + -6q + 6z = 4(6z + -8) Reorder the terms: 54 + -6q + 6z = 4(-8 + 6z) 54 + -6q + 6z = (-8 * 4 + 6z * 4) 54 + -6q + 6z = (-32 + 24z) Solving 54 + -6q + 6z = -32 + 24z Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -6q + -54 + 6z = -32 + -54 + 24z Reorder the terms: 54 + -54 + -6q + 6z = -32 + -54 + 24z Combine like terms: 54 + -54 = 0 0 + -6q + 6z = -32 + -54 + 24z -6q + 6z = -32 + -54 + 24z Combine like terms: -32 + -54 = -86 -6q + 6z = -86 + 24z Add '-6z' to each side of the equation. -6q + 6z + -6z = -86 + 24z + -6z Combine like terms: 6z + -6z = 0 -6q + 0 = -86 + 24z + -6z -6q = -86 + 24z + -6z Combine like terms: 24z + -6z = 18z -6q = -86 + 18z Divide each side by '-6'. q = 14.33333333 + -3z Simplifying q = 14.33333333 + -3z
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