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Simplifying (z + 1) + -4(z + -4) = 5 Reorder the terms: (1 + z) + -4(z + -4) = 5 Remove parenthesis around (1 + z) 1 + z + -4(z + -4) = 5 Reorder the terms: 1 + z + -4(-4 + z) = 5 1 + z + (-4 * -4 + z * -4) = 5 1 + z + (16 + -4z) = 5 Reorder the terms: 1 + 16 + z + -4z = 5 Combine like terms: 1 + 16 = 17 17 + z + -4z = 5 Combine like terms: z + -4z = -3z 17 + -3z = 5 Solving 17 + -3z = 5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3z = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -3z = 5 + -17 -3z = 5 + -17 Combine like terms: 5 + -17 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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