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Simplifying 7(z + -10) = -42 Reorder the terms: 7(-10 + z) = -42 (-10 * 7 + z * 7) = -42 (-70 + 7z) = -42 Solving -70 + 7z = -42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + 7z = -42 + 70 Combine like terms: -70 + 70 = 0 0 + 7z = -42 + 70 7z = -42 + 70 Combine like terms: -42 + 70 = 28 7z = 28 Divide each side by '7'. z = 4 Simplifying z = 4
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