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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 = 7 5 + -1z = 7 + 2z Solving 5 + -1z = 7 + 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 = 7 + 2z + -2z Combine like terms: -1z + -2z = -3z 5 + -3z = 7 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + -3z = 7 + 0 5 + -3z = 7 Add '-5' to each side of the equation. 5 + -5 + -3z = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = 7 + -5 -3z = 7 + -5 Combine like terms: 7 + -5 = 2 -3z = 2 Divide each side by '-3'. z = -0.6666666667 Simplifying z = -0.6666666667
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