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Simplifying 9 + -7(3z + 1) = 6(-3z + 5) + -5 Reorder the terms: 9 + -7(1 + 3z) = 6(-3z + 5) + -5 9 + (1 * -7 + 3z * -7) = 6(-3z + 5) + -5 9 + (-7 + -21z) = 6(-3z + 5) + -5 Combine like terms: 9 + -7 = 2 2 + -21z = 6(-3z + 5) + -5 Reorder the terms: 2 + -21z = 6(5 + -3z) + -5 2 + -21z = (5 * 6 + -3z * 6) + -5 2 + -21z = (30 + -18z) + -5 Reorder the terms: 2 + -21z = 30 + -5 + -18z Combine like terms: 30 + -5 = 25 2 + -21z = 25 + -18z Solving 2 + -21z = 25 + -18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18z' to each side of the equation. 2 + -21z + 18z = 25 + -18z + 18z Combine like terms: -21z + 18z = -3z 2 + -3z = 25 + -18z + 18z Combine like terms: -18z + 18z = 0 2 + -3z = 25 + 0 2 + -3z = 25 Add '-2' to each side of the equation. 2 + -2 + -3z = 25 + -2 Combine like terms: 2 + -2 = 0 0 + -3z = 25 + -2 -3z = 25 + -2 Combine like terms: 25 + -2 = 23 -3z = 23 Divide each side by '-3'. z = -7.666666667 Simplifying z = -7.666666667
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