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Simplifying 5 + -2z = 2(3z + -4) Reorder the terms: 5 + -2z = 2(-4 + 3z) 5 + -2z = (-4 * 2 + 3z * 2) 5 + -2z = (-8 + 6z) Solving 5 + -2z = -8 + 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. 5 + -2z + -6z = -8 + 6z + -6z Combine like terms: -2z + -6z = -8z 5 + -8z = -8 + 6z + -6z Combine like terms: 6z + -6z = 0 5 + -8z = -8 + 0 5 + -8z = -8 Add '-5' to each side of the equation. 5 + -5 + -8z = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -8z = -8 + -5 -8z = -8 + -5 Combine like terms: -8 + -5 = -13 -8z = -13 Divide each side by '-8'. z = 1.625 Simplifying z = 1.625
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