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Simplifying -5(z + 1) = 7 + -4z Reorder the terms: -5(1 + z) = 7 + -4z (1 * -5 + z * -5) = 7 + -4z (-5 + -5z) = 7 + -4z Solving -5 + -5z = 7 + -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. -5 + -5z + 4z = 7 + -4z + 4z Combine like terms: -5z + 4z = -1z -5 + -1z = 7 + -4z + 4z Combine like terms: -4z + 4z = 0 -5 + -1z = 7 + 0 -5 + -1z = 7 Add '5' to each side of the equation. -5 + 5 + -1z = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1z = 7 + 5 -1z = 7 + 5 Combine like terms: 7 + 5 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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