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Simplifying -4 + 6 = 4z + -3(z + 9) Combine like terms: -4 + 6 = 2 2 = 4z + -3(z + 9) Reorder the terms: 2 = 4z + -3(9 + z) 2 = 4z + (9 * -3 + z * -3) 2 = 4z + (-27 + -3z) Reorder the terms: 2 = -27 + 4z + -3z Combine like terms: 4z + -3z = 1z 2 = -27 + 1z Solving 2 = -27 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 2 + -1z = -27 + 1z + -1z Combine like terms: 1z + -1z = 0 2 + -1z = -27 + 0 2 + -1z = -27 Add '-2' to each side of the equation. 2 + -2 + -1z = -27 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = -27 + -2 -1z = -27 + -2 Combine like terms: -27 + -2 = -29 -1z = -29 Divide each side by '-1'. z = 29 Simplifying z = 29
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