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Simplifying 3 + -5(z + 1) = 2 + (z + -4) Reorder the terms: 3 + -5(1 + z) = 2 + (z + -4) 3 + (1 * -5 + z * -5) = 2 + (z + -4) 3 + (-5 + -5z) = 2 + (z + -4) Combine like terms: 3 + -5 = -2 -2 + -5z = 2 + (z + -4) Reorder the terms: -2 + -5z = 2 + (-4 + z) Remove parenthesis around (-4 + z) -2 + -5z = 2 + -4 + z Combine like terms: 2 + -4 = -2 -2 + -5z = -2 + z Add '2' to each side of the equation. -2 + 2 + -5z = -2 + 2 + z Combine like terms: -2 + 2 = 0 0 + -5z = -2 + 2 + z -5z = -2 + 2 + z Combine like terms: -2 + 2 = 0 -5z = 0 + z -5z = z Solving -5z = 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. -5z + -1z = z + -1z Combine like terms: -5z + -1z = -6z -6z = z + -1z Combine like terms: z + -1z = 0 -6z = 0 Divide each side by '-6'. z = 0 Simplifying z = 0
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