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Simplifying 6(z + -4) + 5 = -2z Reorder the terms: 6(-4 + z) + 5 = -2z (-4 * 6 + z * 6) + 5 = -2z (-24 + 6z) + 5 = -2z Reorder the terms: -24 + 5 + 6z = -2z Combine like terms: -24 + 5 = -19 -19 + 6z = -2z Solving -19 + 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. -19 + 6z + 2z = -2z + 2z Combine like terms: 6z + 2z = 8z -19 + 8z = -2z + 2z Combine like terms: -2z + 2z = 0 -19 + 8z = 0 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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