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Simplifying (z + -3) * 7 = 42 Reorder the terms: (-3 + z) * 7 = 42 Reorder the terms for easier multiplication: 7(-3 + z) = 42 (-3 * 7 + z * 7) = 42 (-21 + 7z) = 42 Solving -21 + 7z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 7z = 42 + 21 Combine like terms: -21 + 21 = 0 0 + 7z = 42 + 21 7z = 42 + 21 Combine like terms: 42 + 21 = 63 7z = 63 Divide each side by '7'. z = 9 Simplifying z = 9
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