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Simplifying 9 + 3(-4z + 7) = 7(-3z + 1) + 9 Reorder the terms: 9 + 3(7 + -4z) = 7(-3z + 1) + 9 9 + (7 * 3 + -4z * 3) = 7(-3z + 1) + 9 9 + (21 + -12z) = 7(-3z + 1) + 9 Combine like terms: 9 + 21 = 30 30 + -12z = 7(-3z + 1) + 9 Reorder the terms: 30 + -12z = 7(1 + -3z) + 9 30 + -12z = (1 * 7 + -3z * 7) + 9 30 + -12z = (7 + -21z) + 9 Reorder the terms: 30 + -12z = 7 + 9 + -21z Combine like terms: 7 + 9 = 16 30 + -12z = 16 + -21z Solving 30 + -12z = 16 + -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. 30 + -12z + 21z = 16 + -21z + 21z Combine like terms: -12z + 21z = 9z 30 + 9z = 16 + -21z + 21z Combine like terms: -21z + 21z = 0 30 + 9z = 16 + 0 30 + 9z = 16 Add '-30' to each side of the equation. 30 + -30 + 9z = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 9z = 16 + -30 9z = 16 + -30 Combine like terms: 16 + -30 = -14 9z = -14 Divide each side by '9'. z = -1.555555556 Simplifying z = -1.555555556
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