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Simplifying 7z + -3 = -45 + z Reorder the terms: -3 + 7z = -45 + z Solving -3 + 7z = -45 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -3 + 7z + -1z = -45 + z + -1z Combine like terms: 7z + -1z = 6z -3 + 6z = -45 + z + -1z Combine like terms: z + -1z = 0 -3 + 6z = -45 + 0 -3 + 6z = -45 Add '3' to each side of the equation. -3 + 3 + 6z = -45 + 3 Combine like terms: -3 + 3 = 0 0 + 6z = -45 + 3 6z = -45 + 3 Combine like terms: -45 + 3 = -42 6z = -42 Divide each side by '6'. z = -7 Simplifying z = -7
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