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