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Simplifying 3(6z + -1) + -4z + -8 = 6z + 7 Reorder the terms: 3(-1 + 6z) + -4z + -8 = 6z + 7 (-1 * 3 + 6z * 3) + -4z + -8 = 6z + 7 (-3 + 18z) + -4z + -8 = 6z + 7 Reorder the terms: -3 + -8 + 18z + -4z = 6z + 7 Combine like terms: -3 + -8 = -11 -11 + 18z + -4z = 6z + 7 Combine like terms: 18z + -4z = 14z -11 + 14z = 6z + 7 Reorder the terms: -11 + 14z = 7 + 6z Solving -11 + 14z = 7 + 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. -11 + 14z + -6z = 7 + 6z + -6z Combine like terms: 14z + -6z = 8z -11 + 8z = 7 + 6z + -6z Combine like terms: 6z + -6z = 0 -11 + 8z = 7 + 0 -11 + 8z = 7 Add '11' to each side of the equation. -11 + 11 + 8z = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 8z = 7 + 11 8z = 7 + 11 Combine like terms: 7 + 11 = 18 8z = 18 Divide each side by '8'. z = 2.25 Simplifying z = 2.25
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