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Simplifying 3(z + -5) + -2z = 7 Reorder the terms: 3(-5 + z) + -2z = 7 (-5 * 3 + z * 3) + -2z = 7 (-15 + 3z) + -2z = 7 Combine like terms: 3z + -2z = 1z -15 + 1z = 7 Solving -15 + 1z = 7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1z = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 1z = 7 + 15 1z = 7 + 15 Combine like terms: 7 + 15 = 22 1z = 22 Divide each side by '1'. z = 22 Simplifying z = 22
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