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Simplifying -5(z + 6) = 5 + -4z Reorder the terms: -5(6 + z) = 5 + -4z (6 * -5 + z * -5) = 5 + -4z (-30 + -5z) = 5 + -4z Solving -30 + -5z = 5 + -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. -30 + -5z + 4z = 5 + -4z + 4z Combine like terms: -5z + 4z = -1z -30 + -1z = 5 + -4z + 4z Combine like terms: -4z + 4z = 0 -30 + -1z = 5 + 0 -30 + -1z = 5 Add '30' to each side of the equation. -30 + 30 + -1z = 5 + 30 Combine like terms: -30 + 30 = 0 0 + -1z = 5 + 30 -1z = 5 + 30 Combine like terms: 5 + 30 = 35 -1z = 35 Divide each side by '-1'. z = -35 Simplifying z = -35
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