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Simplifying 10 + 5(z + -2) = 7z + -8 Reorder the terms: 10 + 5(-2 + z) = 7z + -8 10 + (-2 * 5 + z * 5) = 7z + -8 10 + (-10 + 5z) = 7z + -8 Combine like terms: 10 + -10 = 0 0 + 5z = 7z + -8 5z = 7z + -8 Reorder the terms: 5z = -8 + 7z Solving 5z = -8 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 5z + -7z = -8 + 7z + -7z Combine like terms: 5z + -7z = -2z -2z = -8 + 7z + -7z Combine like terms: 7z + -7z = 0 -2z = -8 + 0 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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