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Simplifying 0.5(12z + 12) + -2 = 5(z + -10) Reorder the terms: 0.5(12 + 12z) + -2 = 5(z + -10) (12 * 0.5 + 12z * 0.5) + -2 = 5(z + -10) (6 + 6z) + -2 = 5(z + -10) Reorder the terms: 6 + -2 + 6z = 5(z + -10) Combine like terms: 6 + -2 = 4 4 + 6z = 5(z + -10) Reorder the terms: 4 + 6z = 5(-10 + z) 4 + 6z = (-10 * 5 + z * 5) 4 + 6z = (-50 + 5z) Solving 4 + 6z = -50 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 4 + 6z + -5z = -50 + 5z + -5z Combine like terms: 6z + -5z = 1z 4 + 1z = -50 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + 1z = -50 + 0 4 + 1z = -50 Add '-4' to each side of the equation. 4 + -4 + 1z = -50 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = -50 + -4 1z = -50 + -4 Combine like terms: -50 + -4 = -54 1z = -54 Divide each side by '1'. z = -54 Simplifying z = -54
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