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Simplifying 5 + -1z = 3 + -1(z + 2)(2) Reorder the terms: 5 + -1z = 3 + -1(2 + z)(2) Reorder the terms for easier multiplication: 5 + -1z = 3 + -1 * 2(2 + z) Multiply -1 * 2 5 + -1z = 3 + -2(2 + z) 5 + -1z = 3 + (2 * -2 + z * -2) 5 + -1z = 3 + (-4 + -2z) Combine like terms: 3 + -4 = -1 5 + -1z = -1 + -2z Solving 5 + -1z = -1 + -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 + -1z + 2z = -1 + -2z + 2z Combine like terms: -1z + 2z = 1z 5 + 1z = -1 + -2z + 2z Combine like terms: -2z + 2z = 0 5 + 1z = -1 + 0 5 + 1z = -1 Add '-5' to each side of the equation. 5 + -5 + 1z = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = -1 + -5 1z = -1 + -5 Combine like terms: -1 + -5 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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