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Simplifying 3(2z + -5) = (z + 2) Reorder the terms: 3(-5 + 2z) = (z + 2) (-5 * 3 + 2z * 3) = (z + 2) (-15 + 6z) = (z + 2) Reorder the terms: -15 + 6z = (2 + z) Remove parenthesis around (2 + z) -15 + 6z = 2 + z Solving -15 + 6z = 2 + 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. -15 + 6z + -1z = 2 + z + -1z Combine like terms: 6z + -1z = 5z -15 + 5z = 2 + z + -1z Combine like terms: z + -1z = 0 -15 + 5z = 2 + 0 -15 + 5z = 2 Add '15' to each side of the equation. -15 + 15 + 5z = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 5z = 2 + 15 5z = 2 + 15 Combine like terms: 2 + 15 = 17 5z = 17 Divide each side by '5'. z = 3.4 Simplifying z = 3.4
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