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Simplifying 9 + -1(z + -3) + 4z = 4z + -5(z + 2) + -6 Reorder the terms: 9 + -1(-3 + z) + 4z = 4z + -5(z + 2) + -6 9 + (-3 * -1 + z * -1) + 4z = 4z + -5(z + 2) + -6 9 + (3 + -1z) + 4z = 4z + -5(z + 2) + -6 Combine like terms: 9 + 3 = 12 12 + -1z + 4z = 4z + -5(z + 2) + -6 Combine like terms: -1z + 4z = 3z 12 + 3z = 4z + -5(z + 2) + -6 Reorder the terms: 12 + 3z = 4z + -5(2 + z) + -6 12 + 3z = 4z + (2 * -5 + z * -5) + -6 12 + 3z = 4z + (-10 + -5z) + -6 Reorder the terms: 12 + 3z = -10 + -6 + 4z + -5z Combine like terms: -10 + -6 = -16 12 + 3z = -16 + 4z + -5z Combine like terms: 4z + -5z = -1z 12 + 3z = -16 + -1z Solving 12 + 3z = -16 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 12 + 3z + z = -16 + -1z + z Combine like terms: 3z + z = 4z 12 + 4z = -16 + -1z + z Combine like terms: -1z + z = 0 12 + 4z = -16 + 0 12 + 4z = -16 Add '-12' to each side of the equation. 12 + -12 + 4z = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 4z = -16 + -12 4z = -16 + -12 Combine like terms: -16 + -12 = -28 4z = -28 Divide each side by '4'. z = -7 Simplifying z = -7
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