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Simplifying -1(3z + 5) = 19 + z Reorder the terms: -1(5 + 3z) = 19 + z (5 * -1 + 3z * -1) = 19 + z (-5 + -3z) = 19 + z Solving -5 + -3z = 19 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -5 + -3z + -1z = 19 + z + -1z Combine like terms: -3z + -1z = -4z -5 + -4z = 19 + z + -1z Combine like terms: z + -1z = 0 -5 + -4z = 19 + 0 -5 + -4z = 19 Add '5' to each side of the equation. -5 + 5 + -4z = 19 + 5 Combine like terms: -5 + 5 = 0 0 + -4z = 19 + 5 -4z = 19 + 5 Combine like terms: 19 + 5 = 24 -4z = 24 Divide each side by '-4'. z = -6 Simplifying z = -6
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