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Simplifying -1(5z + 1) = -4(-2 + 5z) + 6z Reorder the terms: -1(1 + 5z) = -4(-2 + 5z) + 6z (1 * -1 + 5z * -1) = -4(-2 + 5z) + 6z (-1 + -5z) = -4(-2 + 5z) + 6z -1 + -5z = (-2 * -4 + 5z * -4) + 6z -1 + -5z = (8 + -20z) + 6z Combine like terms: -20z + 6z = -14z -1 + -5z = 8 + -14z Solving -1 + -5z = 8 + -14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14z' to each side of the equation. -1 + -5z + 14z = 8 + -14z + 14z Combine like terms: -5z + 14z = 9z -1 + 9z = 8 + -14z + 14z Combine like terms: -14z + 14z = 0 -1 + 9z = 8 + 0 -1 + 9z = 8 Add '1' to each side of the equation. -1 + 1 + 9z = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 9z = 8 + 1 9z = 8 + 1 Combine like terms: 8 + 1 = 9 9z = 9 Divide each side by '9'. z = 1 Simplifying z = 1
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