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Simplifying 8z + -2 = 3(2z + -7) Reorder the terms: -2 + 8z = 3(2z + -7) Reorder the terms: -2 + 8z = 3(-7 + 2z) -2 + 8z = (-7 * 3 + 2z * 3) -2 + 8z = (-21 + 6z) Solving -2 + 8z = -21 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -2 + 8z + -6z = -21 + 6z + -6z Combine like terms: 8z + -6z = 2z -2 + 2z = -21 + 6z + -6z Combine like terms: 6z + -6z = 0 -2 + 2z = -21 + 0 -2 + 2z = -21 Add '2' to each side of the equation. -2 + 2 + 2z = -21 + 2 Combine like terms: -2 + 2 = 0 0 + 2z = -21 + 2 2z = -21 + 2 Combine like terms: -21 + 2 = -19 2z = -19 Divide each side by '2'. z = -9.5 Simplifying z = -9.5
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