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Simplifying 3(z + 3) + -2 = 4(z + -1) Reorder the terms: 3(3 + z) + -2 = 4(z + -1) (3 * 3 + z * 3) + -2 = 4(z + -1) (9 + 3z) + -2 = 4(z + -1) Reorder the terms: 9 + -2 + 3z = 4(z + -1) Combine like terms: 9 + -2 = 7 7 + 3z = 4(z + -1) Reorder the terms: 7 + 3z = 4(-1 + z) 7 + 3z = (-1 * 4 + z * 4) 7 + 3z = (-4 + 4z) Solving 7 + 3z = -4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 7 + 3z + -4z = -4 + 4z + -4z Combine like terms: 3z + -4z = -1z 7 + -1z = -4 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + -1z = -4 + 0 7 + -1z = -4 Add '-7' to each side of the equation. 7 + -7 + -1z = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = -4 + -7 -1z = -4 + -7 Combine like terms: -4 + -7 = -11 -1z = -11 Divide each side by '-1'. z = 11 Simplifying z = 11
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