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Simplifying 5(z + -2) + 3(z + -6) = 0 Reorder the terms: 5(-2 + z) + 3(z + -6) = 0 (-2 * 5 + z * 5) + 3(z + -6) = 0 (-10 + 5z) + 3(z + -6) = 0 Reorder the terms: -10 + 5z + 3(-6 + z) = 0 -10 + 5z + (-6 * 3 + z * 3) = 0 -10 + 5z + (-18 + 3z) = 0 Reorder the terms: -10 + -18 + 5z + 3z = 0 Combine like terms: -10 + -18 = -28 -28 + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z -28 + 8z = 0 Solving -28 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 8z = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 8z = 0 + 28 8z = 0 + 28 Combine like terms: 0 + 28 = 28 8z = 28 Divide each side by '8'. z = 3.5 Simplifying z = 3.5
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