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Simplifying -1(z + 9) + (4z + 1) = -7(z + 1) Reorder the terms: -1(9 + z) + (4z + 1) = -7(z + 1) (9 * -1 + z * -1) + (4z + 1) = -7(z + 1) (-9 + -1z) + (4z + 1) = -7(z + 1) Reorder the terms: -9 + -1z + (1 + 4z) = -7(z + 1) Remove parenthesis around (1 + 4z) -9 + -1z + 1 + 4z = -7(z + 1) Reorder the terms: -9 + 1 + -1z + 4z = -7(z + 1) Combine like terms: -9 + 1 = -8 -8 + -1z + 4z = -7(z + 1) Combine like terms: -1z + 4z = 3z -8 + 3z = -7(z + 1) Reorder the terms: -8 + 3z = -7(1 + z) -8 + 3z = (1 * -7 + z * -7) -8 + 3z = (-7 + -7z) Solving -8 + 3z = -7 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -8 + 3z + 7z = -7 + -7z + 7z Combine like terms: 3z + 7z = 10z -8 + 10z = -7 + -7z + 7z Combine like terms: -7z + 7z = 0 -8 + 10z = -7 + 0 -8 + 10z = -7 Add '8' to each side of the equation. -8 + 8 + 10z = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 10z = -7 + 8 10z = -7 + 8 Combine like terms: -7 + 8 = 1 10z = 1 Divide each side by '10'. z = 0.1 Simplifying z = 0.1
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