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Simplifying 3z + 5 = 2(z + -8) Reorder the terms: 5 + 3z = 2(z + -8) Reorder the terms: 5 + 3z = 2(-8 + z) 5 + 3z = (-8 * 2 + z * 2) 5 + 3z = (-16 + 2z) Solving 5 + 3z = -16 + 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 + 3z + -2z = -16 + 2z + -2z Combine like terms: 3z + -2z = 1z 5 + 1z = -16 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 1z = -16 + 0 5 + 1z = -16 Add '-5' to each side of the equation. 5 + -5 + 1z = -16 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = -16 + -5 1z = -16 + -5 Combine like terms: -16 + -5 = -21 1z = -21 Divide each side by '1'. z = -21 Simplifying z = -21
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