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Simplifying -1(3 + 4) = 6z + -3(3z + 2) Combine like terms: 3 + 4 = 7 -1(7) = 6z + -3(3z + 2) Multiply -1 * 7 -7 = 6z + -3(3z + 2) Reorder the terms: -7 = 6z + -3(2 + 3z) -7 = 6z + (2 * -3 + 3z * -3) -7 = 6z + (-6 + -9z) Reorder the terms: -7 = -6 + 6z + -9z Combine like terms: 6z + -9z = -3z -7 = -6 + -3z Solving -7 = -6 + -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. -7 + 3z = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 -7 + 3z = -6 + 0 -7 + 3z = -6 Add '7' to each side of the equation. -7 + 7 + 3z = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 3z = -6 + 7 3z = -6 + 7 Combine like terms: -6 + 7 = 1 3z = 1 Divide each side by '3'. z = 0.3333333333 Simplifying z = 0.3333333333
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