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Simplifying 13 = 2z + -3(z + 4) Reorder the terms: 13 = 2z + -3(4 + z) 13 = 2z + (4 * -3 + z * -3) 13 = 2z + (-12 + -3z) Reorder the terms: 13 = -12 + 2z + -3z Combine like terms: 2z + -3z = -1z 13 = -12 + -1z Solving 13 = -12 + -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. 13 + z = -12 + -1z + z Combine like terms: -1z + z = 0 13 + z = -12 + 0 13 + z = -12 Add '-13' to each side of the equation. 13 + -13 + z = -12 + -13 Combine like terms: 13 + -13 = 0 0 + z = -12 + -13 z = -12 + -13 Combine like terms: -12 + -13 = -25 z = -25 Simplifying z = -25
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