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Simplifying 7(z + -5) + 5z + -1 = 0 Reorder the terms: 7(-5 + z) + 5z + -1 = 0 (-5 * 7 + z * 7) + 5z + -1 = 0 (-35 + 7z) + 5z + -1 = 0 Reorder the terms: -35 + -1 + 7z + 5z = 0 Combine like terms: -35 + -1 = -36 -36 + 7z + 5z = 0 Combine like terms: 7z + 5z = 12z -36 + 12z = 0 Solving -36 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 12z = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 12z = 0 + 36 12z = 0 + 36 Combine like terms: 0 + 36 = 36 12z = 36 Divide each side by '12'. z = 3 Simplifying z = 3
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