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Simplifying 8 + 8(18z + 19) = 8(16z + 2) Reorder the terms: 8 + 8(19 + 18z) = 8(16z + 2) 8 + (19 * 8 + 18z * 8) = 8(16z + 2) 8 + (152 + 144z) = 8(16z + 2) Combine like terms: 8 + 152 = 160 160 + 144z = 8(16z + 2) Reorder the terms: 160 + 144z = 8(2 + 16z) 160 + 144z = (2 * 8 + 16z * 8) 160 + 144z = (16 + 128z) Solving 160 + 144z = 16 + 128z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-128z' to each side of the equation. 160 + 144z + -128z = 16 + 128z + -128z Combine like terms: 144z + -128z = 16z 160 + 16z = 16 + 128z + -128z Combine like terms: 128z + -128z = 0 160 + 16z = 16 + 0 160 + 16z = 16 Add '-160' to each side of the equation. 160 + -160 + 16z = 16 + -160 Combine like terms: 160 + -160 = 0 0 + 16z = 16 + -160 16z = 16 + -160 Combine like terms: 16 + -160 = -144 16z = -144 Divide each side by '16'. z = -9 Simplifying z = -9
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