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Simplifying 2z + -3(z + 1) = -1(7z + 8) + 2 Reorder the terms: 2z + -3(1 + z) = -1(7z + 8) + 2 2z + (1 * -3 + z * -3) = -1(7z + 8) + 2 2z + (-3 + -3z) = -1(7z + 8) + 2 Reorder the terms: -3 + 2z + -3z = -1(7z + 8) + 2 Combine like terms: 2z + -3z = -1z -3 + -1z = -1(7z + 8) + 2 Reorder the terms: -3 + -1z = -1(8 + 7z) + 2 -3 + -1z = (8 * -1 + 7z * -1) + 2 -3 + -1z = (-8 + -7z) + 2 Reorder the terms: -3 + -1z = -8 + 2 + -7z Combine like terms: -8 + 2 = -6 -3 + -1z = -6 + -7z Solving -3 + -1z = -6 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -3 + -1z + 7z = -6 + -7z + 7z Combine like terms: -1z + 7z = 6z -3 + 6z = -6 + -7z + 7z Combine like terms: -7z + 7z = 0 -3 + 6z = -6 + 0 -3 + 6z = -6 Add '3' to each side of the equation. -3 + 3 + 6z = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 6z = -6 + 3 6z = -6 + 3 Combine like terms: -6 + 3 = -3 6z = -3 Divide each side by '6'. z = -0.5 Simplifying z = -0.5
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