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Simplifying 5(2z + -1) + -2(z + 3) = (z + 1) Reorder the terms: 5(-1 + 2z) + -2(z + 3) = (z + 1) (-1 * 5 + 2z * 5) + -2(z + 3) = (z + 1) (-5 + 10z) + -2(z + 3) = (z + 1) Reorder the terms: -5 + 10z + -2(3 + z) = (z + 1) -5 + 10z + (3 * -2 + z * -2) = (z + 1) -5 + 10z + (-6 + -2z) = (z + 1) Reorder the terms: -5 + -6 + 10z + -2z = (z + 1) Combine like terms: -5 + -6 = -11 -11 + 10z + -2z = (z + 1) Combine like terms: 10z + -2z = 8z -11 + 8z = (z + 1) Reorder the terms: -11 + 8z = (1 + z) Remove parenthesis around (1 + z) -11 + 8z = 1 + z Solving -11 + 8z = 1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -11 + 8z + -1z = 1 + z + -1z Combine like terms: 8z + -1z = 7z -11 + 7z = 1 + z + -1z Combine like terms: z + -1z = 0 -11 + 7z = 1 + 0 -11 + 7z = 1 Add '11' to each side of the equation. -11 + 11 + 7z = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 7z = 1 + 11 7z = 1 + 11 Combine like terms: 1 + 11 = 12 7z = 12 Divide each side by '7'. z = 1.714285714 Simplifying z = 1.714285714
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