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Simplifying -2 + -1(-8z + -7) = -6(-8z + -5) + 3 Reorder the terms: -2 + -1(-7 + -8z) = -6(-8z + -5) + 3 -2 + (-7 * -1 + -8z * -1) = -6(-8z + -5) + 3 -2 + (7 + 8z) = -6(-8z + -5) + 3 Combine like terms: -2 + 7 = 5 5 + 8z = -6(-8z + -5) + 3 Reorder the terms: 5 + 8z = -6(-5 + -8z) + 3 5 + 8z = (-5 * -6 + -8z * -6) + 3 5 + 8z = (30 + 48z) + 3 Reorder the terms: 5 + 8z = 30 + 3 + 48z Combine like terms: 30 + 3 = 33 5 + 8z = 33 + 48z Solving 5 + 8z = 33 + 48z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48z' to each side of the equation. 5 + 8z + -48z = 33 + 48z + -48z Combine like terms: 8z + -48z = -40z 5 + -40z = 33 + 48z + -48z Combine like terms: 48z + -48z = 0 5 + -40z = 33 + 0 5 + -40z = 33 Add '-5' to each side of the equation. 5 + -5 + -40z = 33 + -5 Combine like terms: 5 + -5 = 0 0 + -40z = 33 + -5 -40z = 33 + -5 Combine like terms: 33 + -5 = 28 -40z = 28 Divide each side by '-40'. z = -0.7 Simplifying z = -0.7
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