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Simplifying -7 + 3(-9z + -1) = -1(-5z + 8) + -4 Reorder the terms: -7 + 3(-1 + -9z) = -1(-5z + 8) + -4 -7 + (-1 * 3 + -9z * 3) = -1(-5z + 8) + -4 -7 + (-3 + -27z) = -1(-5z + 8) + -4 Combine like terms: -7 + -3 = -10 -10 + -27z = -1(-5z + 8) + -4 Reorder the terms: -10 + -27z = -1(8 + -5z) + -4 -10 + -27z = (8 * -1 + -5z * -1) + -4 -10 + -27z = (-8 + 5z) + -4 Reorder the terms: -10 + -27z = -8 + -4 + 5z Combine like terms: -8 + -4 = -12 -10 + -27z = -12 + 5z Solving -10 + -27z = -12 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -10 + -27z + -5z = -12 + 5z + -5z Combine like terms: -27z + -5z = -32z -10 + -32z = -12 + 5z + -5z Combine like terms: 5z + -5z = 0 -10 + -32z = -12 + 0 -10 + -32z = -12 Add '10' to each side of the equation. -10 + 10 + -32z = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -32z = -12 + 10 -32z = -12 + 10 Combine like terms: -12 + 10 = -2 -32z = -2 Divide each side by '-32'. z = 0.0625 Simplifying z = 0.0625
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