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Simplifying 7(z + -3) + 5z + -1 = 0 Reorder the terms: 7(-3 + z) + 5z + -1 = 0 (-3 * 7 + z * 7) + 5z + -1 = 0 (-21 + 7z) + 5z + -1 = 0 Reorder the terms: -21 + -1 + 7z + 5z = 0 Combine like terms: -21 + -1 = -22 -22 + 7z + 5z = 0 Combine like terms: 7z + 5z = 12z -22 + 12z = 0 Solving -22 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 12z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 12z = 0 + 22 12z = 0 + 22 Combine like terms: 0 + 22 = 22 12z = 22 Divide each side by '12'. z = 1.833333333 Simplifying z = 1.833333333
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