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Simplifying -8 + -6(-7z + -4) = (-3z + 3) + -6 Reorder the terms: -8 + -6(-4 + -7z) = (-3z + 3) + -6 -8 + (-4 * -6 + -7z * -6) = (-3z + 3) + -6 -8 + (24 + 42z) = (-3z + 3) + -6 Combine like terms: -8 + 24 = 16 16 + 42z = (-3z + 3) + -6 Reorder the terms: 16 + 42z = (3 + -3z) + -6 Remove parenthesis around (3 + -3z) 16 + 42z = 3 + -3z + -6 Reorder the terms: 16 + 42z = 3 + -6 + -3z Combine like terms: 3 + -6 = -3 16 + 42z = -3 + -3z Solving 16 + 42z = -3 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 16 + 42z + 3z = -3 + -3z + 3z Combine like terms: 42z + 3z = 45z 16 + 45z = -3 + -3z + 3z Combine like terms: -3z + 3z = 0 16 + 45z = -3 + 0 16 + 45z = -3 Add '-16' to each side of the equation. 16 + -16 + 45z = -3 + -16 Combine like terms: 16 + -16 = 0 0 + 45z = -3 + -16 45z = -3 + -16 Combine like terms: -3 + -16 = -19 45z = -19 Divide each side by '45'. z = -0.4222222222 Simplifying z = -0.4222222222
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