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Simplifying -19 + -6z = -7(4z + -8) Reorder the terms: -19 + -6z = -7(-8 + 4z) -19 + -6z = (-8 * -7 + 4z * -7) -19 + -6z = (56 + -28z) Solving -19 + -6z = 56 + -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. -19 + -6z + 28z = 56 + -28z + 28z Combine like terms: -6z + 28z = 22z -19 + 22z = 56 + -28z + 28z Combine like terms: -28z + 28z = 0 -19 + 22z = 56 + 0 -19 + 22z = 56 Add '19' to each side of the equation. -19 + 19 + 22z = 56 + 19 Combine like terms: -19 + 19 = 0 0 + 22z = 56 + 19 22z = 56 + 19 Combine like terms: 56 + 19 = 75 22z = 75 Divide each side by '22'. z = 3.409090909 Simplifying z = 3.409090909
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