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Simplifying 4z + 10 + -2z = 7 + z + -4 Reorder the terms: 10 + 4z + -2z = 7 + z + -4 Combine like terms: 4z + -2z = 2z 10 + 2z = 7 + z + -4 Reorder the terms: 10 + 2z = 7 + -4 + z Combine like terms: 7 + -4 = 3 10 + 2z = 3 + z Solving 10 + 2z = 3 + 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. 10 + 2z + -1z = 3 + z + -1z Combine like terms: 2z + -1z = 1z 10 + 1z = 3 + z + -1z Combine like terms: z + -1z = 0 10 + 1z = 3 + 0 10 + 1z = 3 Add '-10' to each side of the equation. 10 + -10 + 1z = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 3 + -10 1z = 3 + -10 Combine like terms: 3 + -10 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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