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Simplifying 5(2z + -1) + -2(z + 7) = 0 Reorder the terms: 5(-1 + 2z) + -2(z + 7) = 0 (-1 * 5 + 2z * 5) + -2(z + 7) = 0 (-5 + 10z) + -2(z + 7) = 0 Reorder the terms: -5 + 10z + -2(7 + z) = 0 -5 + 10z + (7 * -2 + z * -2) = 0 -5 + 10z + (-14 + -2z) = 0 Reorder the terms: -5 + -14 + 10z + -2z = 0 Combine like terms: -5 + -14 = -19 -19 + 10z + -2z = 0 Combine like terms: 10z + -2z = 8z -19 + 8z = 0 Solving -19 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 8z = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 8z = 0 + 19 8z = 0 + 19 Combine like terms: 0 + 19 = 19 8z = 19 Divide each side by '8'. z = 2.375 Simplifying z = 2.375
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