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Simplifying -30 = -5(3 + 2z) -30 = (3 * -5 + 2z * -5) -30 = (-15 + -10z) Solving -30 = -15 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. -30 + 10z = -15 + -10z + 10z Combine like terms: -10z + 10z = 0 -30 + 10z = -15 + 0 -30 + 10z = -15 Add '30' to each side of the equation. -30 + 30 + 10z = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 10z = -15 + 30 10z = -15 + 30 Combine like terms: -15 + 30 = 15 10z = 15 Divide each side by '10'. z = 1.5 Simplifying z = 1.5
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