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Simplifying 4z + 2 = z + -3 Reorder the terms: 2 + 4z = z + -3 Reorder the terms: 2 + 4z = -3 + z Solving 2 + 4z = -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. 2 + 4z + -1z = -3 + z + -1z Combine like terms: 4z + -1z = 3z 2 + 3z = -3 + z + -1z Combine like terms: z + -1z = 0 2 + 3z = -3 + 0 2 + 3z = -3 Add '-2' to each side of the equation. 2 + -2 + 3z = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 3z = -3 + -2 3z = -3 + -2 Combine like terms: -3 + -2 = -5 3z = -5 Divide each side by '3'. z = -1.666666667 Simplifying z = -1.666666667
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