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Simplifying 0.5(18z + 10) + -2 = 8(z + -10) Reorder the terms: 0.5(10 + 18z) + -2 = 8(z + -10) (10 * 0.5 + 18z * 0.5) + -2 = 8(z + -10) (5 + 9z) + -2 = 8(z + -10) Reorder the terms: 5 + -2 + 9z = 8(z + -10) Combine like terms: 5 + -2 = 3 3 + 9z = 8(z + -10) Reorder the terms: 3 + 9z = 8(-10 + z) 3 + 9z = (-10 * 8 + z * 8) 3 + 9z = (-80 + 8z) Solving 3 + 9z = -80 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 3 + 9z + -8z = -80 + 8z + -8z Combine like terms: 9z + -8z = 1z 3 + 1z = -80 + 8z + -8z Combine like terms: 8z + -8z = 0 3 + 1z = -80 + 0 3 + 1z = -80 Add '-3' to each side of the equation. 3 + -3 + 1z = -80 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = -80 + -3 1z = -80 + -3 Combine like terms: -80 + -3 = -83 1z = -83 Divide each side by '1'. z = -83 Simplifying z = -83
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