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Simplifying 5z + -4 + -2z + 3 = -7 + -3z + 5 + 2z Reorder the terms: -4 + 3 + 5z + -2z = -7 + -3z + 5 + 2z Combine like terms: -4 + 3 = -1 -1 + 5z + -2z = -7 + -3z + 5 + 2z Combine like terms: 5z + -2z = 3z -1 + 3z = -7 + -3z + 5 + 2z Reorder the terms: -1 + 3z = -7 + 5 + -3z + 2z Combine like terms: -7 + 5 = -2 -1 + 3z = -2 + -3z + 2z Combine like terms: -3z + 2z = -1z -1 + 3z = -2 + -1z Solving -1 + 3z = -2 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -1 + 3z + z = -2 + -1z + z Combine like terms: 3z + z = 4z -1 + 4z = -2 + -1z + z Combine like terms: -1z + z = 0 -1 + 4z = -2 + 0 -1 + 4z = -2 Add '1' to each side of the equation. -1 + 1 + 4z = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 4z = -2 + 1 4z = -2 + 1 Combine like terms: -2 + 1 = -1 4z = -1 Divide each side by '4'. z = -0.25 Simplifying z = -0.25
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