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Simplifying 0.5(6z + 10) + -1 = 2(z + -8) Reorder the terms: 0.5(10 + 6z) + -1 = 2(z + -8) (10 * 0.5 + 6z * 0.5) + -1 = 2(z + -8) (5 + 3z) + -1 = 2(z + -8) Reorder the terms: 5 + -1 + 3z = 2(z + -8) Combine like terms: 5 + -1 = 4 4 + 3z = 2(z + -8) Reorder the terms: 4 + 3z = 2(-8 + z) 4 + 3z = (-8 * 2 + z * 2) 4 + 3z = (-16 + 2z) Solving 4 + 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. 4 + 3z + -2z = -16 + 2z + -2z Combine like terms: 3z + -2z = 1z 4 + 1z = -16 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 1z = -16 + 0 4 + 1z = -16 Add '-4' to each side of the equation. 4 + -4 + 1z = -16 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = -16 + -4 1z = -16 + -4 Combine like terms: -16 + -4 = -20 1z = -20 Divide each side by '1'. z = -20 Simplifying z = -20
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