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Simplifying 12(-7z + 19) + 10 = 0 Reorder the terms: 12(19 + -7z) + 10 = 0 (19 * 12 + -7z * 12) + 10 = 0 (228 + -84z) + 10 = 0 Reorder the terms: 228 + 10 + -84z = 0 Combine like terms: 228 + 10 = 238 238 + -84z = 0 Solving 238 + -84z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-238' to each side of the equation. 238 + -238 + -84z = 0 + -238 Combine like terms: 238 + -238 = 0 0 + -84z = 0 + -238 -84z = 0 + -238 Combine like terms: 0 + -238 = -238 -84z = -238 Divide each side by '-84'. z = 2.833333333 Simplifying z = 2.833333333
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