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Simplifying -2(3 + -4z) + 7z = 12z + -1(z + 2) (3 * -2 + -4z * -2) + 7z = 12z + -1(z + 2) (-6 + 8z) + 7z = 12z + -1(z + 2) Combine like terms: 8z + 7z = 15z -6 + 15z = 12z + -1(z + 2) Reorder the terms: -6 + 15z = 12z + -1(2 + z) -6 + 15z = 12z + (2 * -1 + z * -1) -6 + 15z = 12z + (-2 + -1z) Reorder the terms: -6 + 15z = -2 + 12z + -1z Combine like terms: 12z + -1z = 11z -6 + 15z = -2 + 11z Solving -6 + 15z = -2 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -6 + 15z + -11z = -2 + 11z + -11z Combine like terms: 15z + -11z = 4z -6 + 4z = -2 + 11z + -11z Combine like terms: 11z + -11z = 0 -6 + 4z = -2 + 0 -6 + 4z = -2 Add '6' to each side of the equation. -6 + 6 + 4z = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 4z = -2 + 6 4z = -2 + 6 Combine like terms: -2 + 6 = 4 4z = 4 Divide each side by '4'. z = 1 Simplifying z = 1
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