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Simplifying -8(2z + -3) + -3(z + 1) = 50 Reorder the terms: -8(-3 + 2z) + -3(z + 1) = 50 (-3 * -8 + 2z * -8) + -3(z + 1) = 50 (24 + -16z) + -3(z + 1) = 50 Reorder the terms: 24 + -16z + -3(1 + z) = 50 24 + -16z + (1 * -3 + z * -3) = 50 24 + -16z + (-3 + -3z) = 50 Reorder the terms: 24 + -3 + -16z + -3z = 50 Combine like terms: 24 + -3 = 21 21 + -16z + -3z = 50 Combine like terms: -16z + -3z = -19z 21 + -19z = 50 Solving 21 + -19z = 50 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -19z = 50 + -21 Combine like terms: 21 + -21 = 0 0 + -19z = 50 + -21 -19z = 50 + -21 Combine like terms: 50 + -21 = 29 -19z = 29 Divide each side by '-19'. z = -1.526315789 Simplifying z = -1.526315789
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