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Simplifying 9(z + -1) + -2(3z) + 4 = 7 Reorder the terms: 9(-1 + z) + -2(3z) + 4 = 7 (-1 * 9 + z * 9) + -2(3z) + 4 = 7 (-9 + 9z) + -2(3z) + 4 = 7 Remove parenthesis around (3z) -9 + 9z + -2 * 3z + 4 = 7 Multiply -2 * 3 -9 + 9z + -6z + 4 = 7 Reorder the terms: -9 + 4 + 9z + -6z = 7 Combine like terms: -9 + 4 = -5 -5 + 9z + -6z = 7 Combine like terms: 9z + -6z = 3z -5 + 3z = 7 Solving -5 + 3z = 7 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3z = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3z = 7 + 5 3z = 7 + 5 Combine like terms: 7 + 5 = 12 3z = 12 Divide each side by '3'. z = 4 Simplifying z = 4
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