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Simplifying 44 = -2(21 + -1z) + 3(z + -3) 44 = (21 * -2 + -1z * -2) + 3(z + -3) 44 = (-42 + 2z) + 3(z + -3) Reorder the terms: 44 = -42 + 2z + 3(-3 + z) 44 = -42 + 2z + (-3 * 3 + z * 3) 44 = -42 + 2z + (-9 + 3z) Reorder the terms: 44 = -42 + -9 + 2z + 3z Combine like terms: -42 + -9 = -51 44 = -51 + 2z + 3z Combine like terms: 2z + 3z = 5z 44 = -51 + 5z Solving 44 = -51 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 44 + -5z = -51 + 5z + -5z Combine like terms: 5z + -5z = 0 44 + -5z = -51 + 0 44 + -5z = -51 Add '-44' to each side of the equation. 44 + -44 + -5z = -51 + -44 Combine like terms: 44 + -44 = 0 0 + -5z = -51 + -44 -5z = -51 + -44 Combine like terms: -51 + -44 = -95 -5z = -95 Divide each side by '-5'. z = 19 Simplifying z = 19
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