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Simplifying -99 = 12(z + -3) + 6z Reorder the terms: -99 = 12(-3 + z) + 6z -99 = (-3 * 12 + z * 12) + 6z -99 = (-36 + 12z) + 6z Combine like terms: 12z + 6z = 18z -99 = -36 + 18z Solving -99 = -36 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. -99 + -18z = -36 + 18z + -18z Combine like terms: 18z + -18z = 0 -99 + -18z = -36 + 0 -99 + -18z = -36 Add '99' to each side of the equation. -99 + 99 + -18z = -36 + 99 Combine like terms: -99 + 99 = 0 0 + -18z = -36 + 99 -18z = -36 + 99 Combine like terms: -36 + 99 = 63 -18z = 63 Divide each side by '-18'. z = -3.5 Simplifying z = -3.5
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