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Simplifying 5(2z + -7) = -2z + 7 Reorder the terms: 5(-7 + 2z) = -2z + 7 (-7 * 5 + 2z * 5) = -2z + 7 (-35 + 10z) = -2z + 7 Reorder the terms: -35 + 10z = 7 + -2z Solving -35 + 10z = 7 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -35 + 10z + 2z = 7 + -2z + 2z Combine like terms: 10z + 2z = 12z -35 + 12z = 7 + -2z + 2z Combine like terms: -2z + 2z = 0 -35 + 12z = 7 + 0 -35 + 12z = 7 Add '35' to each side of the equation. -35 + 35 + 12z = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 12z = 7 + 35 12z = 7 + 35 Combine like terms: 7 + 35 = 42 12z = 42 Divide each side by '12'. z = 3.5 Simplifying z = 3.5
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