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Simplifying -5(z + 7) = -4z + -9 Reorder the terms: -5(7 + z) = -4z + -9 (7 * -5 + z * -5) = -4z + -9 (-35 + -5z) = -4z + -9 Reorder the terms: -35 + -5z = -9 + -4z Solving -35 + -5z = -9 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -35 + -5z + 4z = -9 + -4z + 4z Combine like terms: -5z + 4z = -1z -35 + -1z = -9 + -4z + 4z Combine like terms: -4z + 4z = 0 -35 + -1z = -9 + 0 -35 + -1z = -9 Add '35' to each side of the equation. -35 + 35 + -1z = -9 + 35 Combine like terms: -35 + 35 = 0 0 + -1z = -9 + 35 -1z = -9 + 35 Combine like terms: -9 + 35 = 26 -1z = 26 Divide each side by '-1'. z = -26 Simplifying z = -26
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