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Simplifying 5 + -1(z + 3) = -1 + 2(z + -3) Reorder the terms: 5 + -1(3 + z) = -1 + 2(z + -3) 5 + (3 * -1 + z * -1) = -1 + 2(z + -3) 5 + (-3 + -1z) = -1 + 2(z + -3) Combine like terms: 5 + -3 = 2 2 + -1z = -1 + 2(z + -3) Reorder the terms: 2 + -1z = -1 + 2(-3 + z) 2 + -1z = -1 + (-3 * 2 + z * 2) 2 + -1z = -1 + (-6 + 2z) Combine like terms: -1 + -6 = -7 2 + -1z = -7 + 2z Solving 2 + -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. 2 + -1z + -2z = -7 + 2z + -2z Combine like terms: -1z + -2z = -3z 2 + -3z = -7 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + -3z = -7 + 0 2 + -3z = -7 Add '-2' to each side of the equation. 2 + -2 + -3z = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -3z = -7 + -2 -3z = -7 + -2 Combine like terms: -7 + -2 = -9 -3z = -9 Divide each side by '-3'. z = 3 Simplifying z = 3
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