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Simplifying -2(z + -4) + -1(3z + -2) = -3(4z + -3) Reorder the terms: -2(-4 + z) + -1(3z + -2) = -3(4z + -3) (-4 * -2 + z * -2) + -1(3z + -2) = -3(4z + -3) (8 + -2z) + -1(3z + -2) = -3(4z + -3) Reorder the terms: 8 + -2z + -1(-2 + 3z) = -3(4z + -3) 8 + -2z + (-2 * -1 + 3z * -1) = -3(4z + -3) 8 + -2z + (2 + -3z) = -3(4z + -3) Reorder the terms: 8 + 2 + -2z + -3z = -3(4z + -3) Combine like terms: 8 + 2 = 10 10 + -2z + -3z = -3(4z + -3) Combine like terms: -2z + -3z = -5z 10 + -5z = -3(4z + -3) Reorder the terms: 10 + -5z = -3(-3 + 4z) 10 + -5z = (-3 * -3 + 4z * -3) 10 + -5z = (9 + -12z) Solving 10 + -5z = 9 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 10 + -5z + 12z = 9 + -12z + 12z Combine like terms: -5z + 12z = 7z 10 + 7z = 9 + -12z + 12z Combine like terms: -12z + 12z = 0 10 + 7z = 9 + 0 10 + 7z = 9 Add '-10' to each side of the equation. 10 + -10 + 7z = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 7z = 9 + -10 7z = 9 + -10 Combine like terms: 9 + -10 = -1 7z = -1 Divide each side by '7'. z = -0.1428571429 Simplifying z = -0.1428571429
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