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Simplifying 6(3z + -7) = 23 + -5z Reorder the terms: 6(-7 + 3z) = 23 + -5z (-7 * 6 + 3z * 6) = 23 + -5z (-42 + 18z) = 23 + -5z Solving -42 + 18z = 23 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -42 + 18z + 5z = 23 + -5z + 5z Combine like terms: 18z + 5z = 23z -42 + 23z = 23 + -5z + 5z Combine like terms: -5z + 5z = 0 -42 + 23z = 23 + 0 -42 + 23z = 23 Add '42' to each side of the equation. -42 + 42 + 23z = 23 + 42 Combine like terms: -42 + 42 = 0 0 + 23z = 23 + 42 23z = 23 + 42 Combine like terms: 23 + 42 = 65 23z = 65 Divide each side by '23'. z = 2.826086957 Simplifying z = 2.826086957
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