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Simplifying -1(2 + 9) + (4z + 1) = -2(2 + 1) Combine like terms: 2 + 9 = 11 -1(11) + (4z + 1) = -2(2 + 1) Multiply -1 * 11 -11 + (4z + 1) = -2(2 + 1) Reorder the terms: -11 + (1 + 4z) = -2(2 + 1) Remove parenthesis around (1 + 4z) -11 + 1 + 4z = -2(2 + 1) Combine like terms: -11 + 1 = -10 -10 + 4z = -2(2 + 1) Combine like terms: 2 + 1 = 3 -10 + 4z = -2(3) Multiply -2 * 3 -10 + 4z = -6 Solving -10 + 4z = -6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4z = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 4z = -6 + 10 4z = -6 + 10 Combine like terms: -6 + 10 = 4 4z = 4 Divide each side by '4'. z = 1 Simplifying z = 1
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