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Simplifying 8 + -6(-1z + -5) = 4(4z + 1) + 7 Reorder the terms: 8 + -6(-5 + -1z) = 4(4z + 1) + 7 8 + (-5 * -6 + -1z * -6) = 4(4z + 1) + 7 8 + (30 + 6z) = 4(4z + 1) + 7 Combine like terms: 8 + 30 = 38 38 + 6z = 4(4z + 1) + 7 Reorder the terms: 38 + 6z = 4(1 + 4z) + 7 38 + 6z = (1 * 4 + 4z * 4) + 7 38 + 6z = (4 + 16z) + 7 Reorder the terms: 38 + 6z = 4 + 7 + 16z Combine like terms: 4 + 7 = 11 38 + 6z = 11 + 16z Solving 38 + 6z = 11 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 38 + 6z + -16z = 11 + 16z + -16z Combine like terms: 6z + -16z = -10z 38 + -10z = 11 + 16z + -16z Combine like terms: 16z + -16z = 0 38 + -10z = 11 + 0 38 + -10z = 11 Add '-38' to each side of the equation. 38 + -38 + -10z = 11 + -38 Combine like terms: 38 + -38 = 0 0 + -10z = 11 + -38 -10z = 11 + -38 Combine like terms: 11 + -38 = -27 -10z = -27 Divide each side by '-10'. z = 2.7 Simplifying z = 2.7
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