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Simplifying 3(8 + -2) + -34 = 27z + -5(2 + 6z) Combine like terms: 8 + -2 = 6 3(6) + -34 = 27z + -5(2 + 6z) Multiply 3 * 6 18 + -34 = 27z + -5(2 + 6z) Combine like terms: 18 + -34 = -16 -16 = 27z + -5(2 + 6z) -16 = 27z + (2 * -5 + 6z * -5) -16 = 27z + (-10 + -30z) Reorder the terms: -16 = -10 + 27z + -30z Combine like terms: 27z + -30z = -3z -16 = -10 + -3z Solving -16 = -10 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -16 + 3z = -10 + -3z + 3z Combine like terms: -3z + 3z = 0 -16 + 3z = -10 + 0 -16 + 3z = -10 Add '16' to each side of the equation. -16 + 16 + 3z = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 3z = -10 + 16 3z = -10 + 16 Combine like terms: -10 + 16 = 6 3z = 6 Divide each side by '3'. z = 2 Simplifying z = 2
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