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Simplifying 9 + -5(3z + -4) = -7(-3z + -3) + -4 Reorder the terms: 9 + -5(-4 + 3z) = -7(-3z + -3) + -4 9 + (-4 * -5 + 3z * -5) = -7(-3z + -3) + -4 9 + (20 + -15z) = -7(-3z + -3) + -4 Combine like terms: 9 + 20 = 29 29 + -15z = -7(-3z + -3) + -4 Reorder the terms: 29 + -15z = -7(-3 + -3z) + -4 29 + -15z = (-3 * -7 + -3z * -7) + -4 29 + -15z = (21 + 21z) + -4 Reorder the terms: 29 + -15z = 21 + -4 + 21z Combine like terms: 21 + -4 = 17 29 + -15z = 17 + 21z Solving 29 + -15z = 17 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. 29 + -15z + -21z = 17 + 21z + -21z Combine like terms: -15z + -21z = -36z 29 + -36z = 17 + 21z + -21z Combine like terms: 21z + -21z = 0 29 + -36z = 17 + 0 29 + -36z = 17 Add '-29' to each side of the equation. 29 + -29 + -36z = 17 + -29 Combine like terms: 29 + -29 = 0 0 + -36z = 17 + -29 -36z = 17 + -29 Combine like terms: 17 + -29 = -12 -36z = -12 Divide each side by '-36'. z = 0.3333333333 Simplifying z = 0.3333333333
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