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Simplifying -8 + -1(6z + -5) = -7(-4z + -3) + 8 Reorder the terms: -8 + -1(-5 + 6z) = -7(-4z + -3) + 8 -8 + (-5 * -1 + 6z * -1) = -7(-4z + -3) + 8 -8 + (5 + -6z) = -7(-4z + -3) + 8 Combine like terms: -8 + 5 = -3 -3 + -6z = -7(-4z + -3) + 8 Reorder the terms: -3 + -6z = -7(-3 + -4z) + 8 -3 + -6z = (-3 * -7 + -4z * -7) + 8 -3 + -6z = (21 + 28z) + 8 Reorder the terms: -3 + -6z = 21 + 8 + 28z Combine like terms: 21 + 8 = 29 -3 + -6z = 29 + 28z Solving -3 + -6z = 29 + 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. -3 + -6z + -28z = 29 + 28z + -28z Combine like terms: -6z + -28z = -34z -3 + -34z = 29 + 28z + -28z Combine like terms: 28z + -28z = 0 -3 + -34z = 29 + 0 -3 + -34z = 29 Add '3' to each side of the equation. -3 + 3 + -34z = 29 + 3 Combine like terms: -3 + 3 = 0 0 + -34z = 29 + 3 -34z = 29 + 3 Combine like terms: 29 + 3 = 32 -34z = 32 Divide each side by '-34'. z = -0.9411764706 Simplifying z = -0.9411764706
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