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Simplifying -2(z + -4) + -1(3z + -2) = -3 + -1(4z + -3) Reorder the terms: -2(-4 + z) + -1(3z + -2) = -3 + -1(4z + -3) (-4 * -2 + z * -2) + -1(3z + -2) = -3 + -1(4z + -3) (8 + -2z) + -1(3z + -2) = -3 + -1(4z + -3) Reorder the terms: 8 + -2z + -1(-2 + 3z) = -3 + -1(4z + -3) 8 + -2z + (-2 * -1 + 3z * -1) = -3 + -1(4z + -3) 8 + -2z + (2 + -3z) = -3 + -1(4z + -3) Reorder the terms: 8 + 2 + -2z + -3z = -3 + -1(4z + -3) Combine like terms: 8 + 2 = 10 10 + -2z + -3z = -3 + -1(4z + -3) Combine like terms: -2z + -3z = -5z 10 + -5z = -3 + -1(4z + -3) Reorder the terms: 10 + -5z = -3 + -1(-3 + 4z) 10 + -5z = -3 + (-3 * -1 + 4z * -1) 10 + -5z = -3 + (3 + -4z) Combine like terms: -3 + 3 = 0 10 + -5z = 0 + -4z 10 + -5z = -4z Solving 10 + -5z = -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. 10 + -5z + 4z = -4z + 4z Combine like terms: -5z + 4z = -1z 10 + -1z = -4z + 4z Combine like terms: -4z + 4z = 0 10 + -1z = 0 Add '-10' to each side of the equation. 10 + -10 + -1z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1z = 0 + -10 -1z = 0 + -10 Combine like terms: 0 + -10 = -10 -1z = -10 Divide each side by '-1'. z = 10 Simplifying z = 10
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