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Simplifying -3z + -3 + 5z + -2 = -1(2z + 3) Reorder the terms: -3 + -2 + -3z + 5z = -1(2z + 3) Combine like terms: -3 + -2 = -5 -5 + -3z + 5z = -1(2z + 3) Combine like terms: -3z + 5z = 2z -5 + 2z = -1(2z + 3) Reorder the terms: -5 + 2z = -1(3 + 2z) -5 + 2z = (3 * -1 + 2z * -1) -5 + 2z = (-3 + -2z) Solving -5 + 2z = -3 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -5 + 2z + 2z = -3 + -2z + 2z Combine like terms: 2z + 2z = 4z -5 + 4z = -3 + -2z + 2z Combine like terms: -2z + 2z = 0 -5 + 4z = -3 + 0 -5 + 4z = -3 Add '5' to each side of the equation. -5 + 5 + 4z = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 4z = -3 + 5 4z = -3 + 5 Combine like terms: -3 + 5 = 2 4z = 2 Divide each side by '4'. z = 0.5 Simplifying z = 0.5
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