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Simplifying -6(z + 5) = -5z + -8 Reorder the terms: -6(5 + z) = -5z + -8 (5 * -6 + z * -6) = -5z + -8 (-30 + -6z) = -5z + -8 Reorder the terms: -30 + -6z = -8 + -5z Solving -30 + -6z = -8 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -30 + -6z + 5z = -8 + -5z + 5z Combine like terms: -6z + 5z = -1z -30 + -1z = -8 + -5z + 5z Combine like terms: -5z + 5z = 0 -30 + -1z = -8 + 0 -30 + -1z = -8 Add '30' to each side of the equation. -30 + 30 + -1z = -8 + 30 Combine like terms: -30 + 30 = 0 0 + -1z = -8 + 30 -1z = -8 + 30 Combine like terms: -8 + 30 = 22 -1z = 22 Divide each side by '-1'. z = -22 Simplifying z = -22
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