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Simplifying 6z + 3 = z + -4 Reorder the terms: 3 + 6z = z + -4 Reorder the terms: 3 + 6z = -4 + z Solving 3 + 6z = -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. 3 + 6z + -1z = -4 + z + -1z Combine like terms: 6z + -1z = 5z 3 + 5z = -4 + z + -1z Combine like terms: z + -1z = 0 3 + 5z = -4 + 0 3 + 5z = -4 Add '-3' to each side of the equation. 3 + -3 + 5z = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = -4 + -3 5z = -4 + -3 Combine like terms: -4 + -3 = -7 5z = -7 Divide each side by '5'. z = -1.4 Simplifying z = -1.4
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