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Simplifying 4z + 10 + -2z = 7 + z + -3 Reorder the terms: 10 + 4z + -2z = 7 + z + -3 Combine like terms: 4z + -2z = 2z 10 + 2z = 7 + z + -3 Reorder the terms: 10 + 2z = 7 + -3 + z Combine like terms: 7 + -3 = 4 10 + 2z = 4 + z Solving 10 + 2z = 4 + 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 = 4 + z + -1z Combine like terms: 2z + -1z = 1z 10 + 1z = 4 + z + -1z Combine like terms: z + -1z = 0 10 + 1z = 4 + 0 10 + 1z = 4 Add '-10' to each side of the equation. 10 + -10 + 1z = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 4 + -10 1z = 4 + -10 Combine like terms: 4 + -10 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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