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Simplifying 7(2 + -1z) + (z + -3) = 2z (2 * 7 + -1z * 7) + (z + -3) = 2z (14 + -7z) + (z + -3) = 2z Reorder the terms: 14 + -7z + (-3 + z) = 2z Remove parenthesis around (-3 + z) 14 + -7z + -3 + z = 2z Reorder the terms: 14 + -3 + -7z + z = 2z Combine like terms: 14 + -3 = 11 11 + -7z + z = 2z Combine like terms: -7z + z = -6z 11 + -6z = 2z Solving 11 + -6z = 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. 11 + -6z + -2z = 2z + -2z Combine like terms: -6z + -2z = -8z 11 + -8z = 2z + -2z Combine like terms: 2z + -2z = 0 11 + -8z = 0 Add '-11' to each side of the equation. 11 + -11 + -8z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8z = 0 + -11 -8z = 0 + -11 Combine like terms: 0 + -11 = -11 -8z = -11 Divide each side by '-8'. z = 1.375 Simplifying z = 1.375
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