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Simplifying -1(2 + 5) + (6z + 1) = 3(2 + -1) Combine like terms: 2 + 5 = 7 -1(7) + (6z + 1) = 3(2 + -1) Multiply -1 * 7 -7 + (6z + 1) = 3(2 + -1) Reorder the terms: -7 + (1 + 6z) = 3(2 + -1) Remove parenthesis around (1 + 6z) -7 + 1 + 6z = 3(2 + -1) Combine like terms: -7 + 1 = -6 -6 + 6z = 3(2 + -1) Combine like terms: 2 + -1 = 1 -6 + 6z = 3(1) Multiply 3 * 1 -6 + 6z = 3 Solving -6 + 6z = 3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6z = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 6z = 3 + 6 6z = 3 + 6 Combine like terms: 3 + 6 = 9 6z = 9 Divide each side by '6'. z = 1.5 Simplifying z = 1.5
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