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Simplifying -1(z + 6) + (4z + 1) = -1z + 1 Reorder the terms: -1(6 + z) + (4z + 1) = -1z + 1 (6 * -1 + z * -1) + (4z + 1) = -1z + 1 (-6 + -1z) + (4z + 1) = -1z + 1 Reorder the terms: -6 + -1z + (1 + 4z) = -1z + 1 Remove parenthesis around (1 + 4z) -6 + -1z + 1 + 4z = -1z + 1 Reorder the terms: -6 + 1 + -1z + 4z = -1z + 1 Combine like terms: -6 + 1 = -5 -5 + -1z + 4z = -1z + 1 Combine like terms: -1z + 4z = 3z -5 + 3z = -1z + 1 Reorder the terms: -5 + 3z = 1 + -1z Solving -5 + 3z = 1 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -5 + 3z + z = 1 + -1z + z Combine like terms: 3z + z = 4z -5 + 4z = 1 + -1z + z Combine like terms: -1z + z = 0 -5 + 4z = 1 + 0 -5 + 4z = 1 Add '5' to each side of the equation. -5 + 5 + 4z = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 4z = 1 + 5 4z = 1 + 5 Combine like terms: 1 + 5 = 6 4z = 6 Divide each side by '4'. z = 1.5 Simplifying z = 1.5
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