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Simplifying 6(-2z + 5) = -19z + 16 Reorder the terms: 6(5 + -2z) = -19z + 16 (5 * 6 + -2z * 6) = -19z + 16 (30 + -12z) = -19z + 16 Reorder the terms: 30 + -12z = 16 + -19z Solving 30 + -12z = 16 + -19z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '19z' to each side of the equation. 30 + -12z + 19z = 16 + -19z + 19z Combine like terms: -12z + 19z = 7z 30 + 7z = 16 + -19z + 19z Combine like terms: -19z + 19z = 0 30 + 7z = 16 + 0 30 + 7z = 16 Add '-30' to each side of the equation. 30 + -30 + 7z = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 7z = 16 + -30 7z = 16 + -30 Combine like terms: 16 + -30 = -14 7z = -14 Divide each side by '7'. z = -2 Simplifying z = -2
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