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Simplifying 8(z + -3) = 2(z + 15) Reorder the terms: 8(-3 + z) = 2(z + 15) (-3 * 8 + z * 8) = 2(z + 15) (-24 + 8z) = 2(z + 15) Reorder the terms: -24 + 8z = 2(15 + z) -24 + 8z = (15 * 2 + z * 2) -24 + 8z = (30 + 2z) Solving -24 + 8z = 30 + 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. -24 + 8z + -2z = 30 + 2z + -2z Combine like terms: 8z + -2z = 6z -24 + 6z = 30 + 2z + -2z Combine like terms: 2z + -2z = 0 -24 + 6z = 30 + 0 -24 + 6z = 30 Add '24' to each side of the equation. -24 + 24 + 6z = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 6z = 30 + 24 6z = 30 + 24 Combine like terms: 30 + 24 = 54 6z = 54 Divide each side by '6'. z = 9 Simplifying z = 9
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