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Simplifying -9 + -9 + -2z = 8 + 3(-4z + 18) Combine like terms: -9 + -9 = -18 -18 + -2z = 8 + 3(-4z + 18) Reorder the terms: -18 + -2z = 8 + 3(18 + -4z) -18 + -2z = 8 + (18 * 3 + -4z * 3) -18 + -2z = 8 + (54 + -12z) Combine like terms: 8 + 54 = 62 -18 + -2z = 62 + -12z Solving -18 + -2z = 62 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -18 + -2z + 12z = 62 + -12z + 12z Combine like terms: -2z + 12z = 10z -18 + 10z = 62 + -12z + 12z Combine like terms: -12z + 12z = 0 -18 + 10z = 62 + 0 -18 + 10z = 62 Add '18' to each side of the equation. -18 + 18 + 10z = 62 + 18 Combine like terms: -18 + 18 = 0 0 + 10z = 62 + 18 10z = 62 + 18 Combine like terms: 62 + 18 = 80 10z = 80 Divide each side by '10'. z = 8 Simplifying z = 8
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