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Simplifying -1(z + 9) + (4z + 1) = -6(z + 1) Reorder the terms: -1(9 + z) + (4z + 1) = -6(z + 1) (9 * -1 + z * -1) + (4z + 1) = -6(z + 1) (-9 + -1z) + (4z + 1) = -6(z + 1) Reorder the terms: -9 + -1z + (1 + 4z) = -6(z + 1) Remove parenthesis around (1 + 4z) -9 + -1z + 1 + 4z = -6(z + 1) Reorder the terms: -9 + 1 + -1z + 4z = -6(z + 1) Combine like terms: -9 + 1 = -8 -8 + -1z + 4z = -6(z + 1) Combine like terms: -1z + 4z = 3z -8 + 3z = -6(z + 1) Reorder the terms: -8 + 3z = -6(1 + z) -8 + 3z = (1 * -6 + z * -6) -8 + 3z = (-6 + -6z) Solving -8 + 3z = -6 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -8 + 3z + 6z = -6 + -6z + 6z Combine like terms: 3z + 6z = 9z -8 + 9z = -6 + -6z + 6z Combine like terms: -6z + 6z = 0 -8 + 9z = -6 + 0 -8 + 9z = -6 Add '8' to each side of the equation. -8 + 8 + 9z = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 9z = -6 + 8 9z = -6 + 8 Combine like terms: -6 + 8 = 2 9z = 2 Divide each side by '9'. z = 0.2222222222 Simplifying z = 0.2222222222
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