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Simplifying -9 = -7z + -6(2z + 1) Reorder the terms: -9 = -7z + -6(1 + 2z) -9 = -7z + (1 * -6 + 2z * -6) -9 = -7z + (-6 + -12z) Reorder the terms: -9 = -6 + -7z + -12z Combine like terms: -7z + -12z = -19z -9 = -6 + -19z Solving -9 = -6 + -19z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '19z' to each side of the equation. -9 + 19z = -6 + -19z + 19z Combine like terms: -19z + 19z = 0 -9 + 19z = -6 + 0 -9 + 19z = -6 Add '9' to each side of the equation. -9 + 9 + 19z = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 19z = -6 + 9 19z = -6 + 9 Combine like terms: -6 + 9 = 3 19z = 3 Divide each side by '19'. z = 0.1578947368 Simplifying z = 0.1578947368
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