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Simplifying -6(2z + 3) + 6(z + -7) = 0 Reorder the terms: -6(3 + 2z) + 6(z + -7) = 0 (3 * -6 + 2z * -6) + 6(z + -7) = 0 (-18 + -12z) + 6(z + -7) = 0 Reorder the terms: -18 + -12z + 6(-7 + z) = 0 -18 + -12z + (-7 * 6 + z * 6) = 0 -18 + -12z + (-42 + 6z) = 0 Reorder the terms: -18 + -42 + -12z + 6z = 0 Combine like terms: -18 + -42 = -60 -60 + -12z + 6z = 0 Combine like terms: -12z + 6z = -6z -60 + -6z = 0 Solving -60 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -6z = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -6z = 0 + 60 -6z = 0 + 60 Combine like terms: 0 + 60 = 60 -6z = 60 Divide each side by '-6'. z = -10 Simplifying z = -10
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