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Simplifying (8z + 1) + -1(3 + -1z) = 79 Reorder the terms: (1 + 8z) + -1(3 + -1z) = 79 Remove parenthesis around (1 + 8z) 1 + 8z + -1(3 + -1z) = 79 1 + 8z + (3 * -1 + -1z * -1) = 79 1 + 8z + (-3 + 1z) = 79 Reorder the terms: 1 + -3 + 8z + 1z = 79 Combine like terms: 1 + -3 = -2 -2 + 8z + 1z = 79 Combine like terms: 8z + 1z = 9z -2 + 9z = 79 Solving -2 + 9z = 79 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 9z = 79 + 2 Combine like terms: -2 + 2 = 0 0 + 9z = 79 + 2 9z = 79 + 2 Combine like terms: 79 + 2 = 81 9z = 81 Divide each side by '9'. z = 9 Simplifying z = 9
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