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Simplifying 5(z + 7) = 6(z + -5) Reorder the terms: 5(7 + z) = 6(z + -5) (7 * 5 + z * 5) = 6(z + -5) (35 + 5z) = 6(z + -5) Reorder the terms: 35 + 5z = 6(-5 + z) 35 + 5z = (-5 * 6 + z * 6) 35 + 5z = (-30 + 6z) Solving 35 + 5z = -30 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 35 + 5z + -6z = -30 + 6z + -6z Combine like terms: 5z + -6z = -1z 35 + -1z = -30 + 6z + -6z Combine like terms: 6z + -6z = 0 35 + -1z = -30 + 0 35 + -1z = -30 Add '-35' to each side of the equation. 35 + -35 + -1z = -30 + -35 Combine like terms: 35 + -35 = 0 0 + -1z = -30 + -35 -1z = -30 + -35 Combine like terms: -30 + -35 = -65 -1z = -65 Divide each side by '-1'. z = 65 Simplifying z = 65
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