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Simplifying 3z + -8 + -2(z + 5) = 0 Reorder the terms: 3z + -8 + -2(5 + z) = 0 3z + -8 + (5 * -2 + z * -2) = 0 3z + -8 + (-10 + -2z) = 0 Reorder the terms: -8 + -10 + 3z + -2z = 0 Combine like terms: -8 + -10 = -18 -18 + 3z + -2z = 0 Combine like terms: 3z + -2z = 1z -18 + 1z = 0 Solving -18 + 1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1z = 0 + 18 1z = 0 + 18 Combine like terms: 0 + 18 = 18 1z = 18 Divide each side by '1'. z = 18 Simplifying z = 18
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