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Simplifying 2(z + -4) + -1(3z + -2) = -2 + -1(6z + -2) Reorder the terms: 2(-4 + z) + -1(3z + -2) = -2 + -1(6z + -2) (-4 * 2 + z * 2) + -1(3z + -2) = -2 + -1(6z + -2) (-8 + 2z) + -1(3z + -2) = -2 + -1(6z + -2) Reorder the terms: -8 + 2z + -1(-2 + 3z) = -2 + -1(6z + -2) -8 + 2z + (-2 * -1 + 3z * -1) = -2 + -1(6z + -2) -8 + 2z + (2 + -3z) = -2 + -1(6z + -2) Reorder the terms: -8 + 2 + 2z + -3z = -2 + -1(6z + -2) Combine like terms: -8 + 2 = -6 -6 + 2z + -3z = -2 + -1(6z + -2) Combine like terms: 2z + -3z = -1z -6 + -1z = -2 + -1(6z + -2) Reorder the terms: -6 + -1z = -2 + -1(-2 + 6z) -6 + -1z = -2 + (-2 * -1 + 6z * -1) -6 + -1z = -2 + (2 + -6z) Combine like terms: -2 + 2 = 0 -6 + -1z = 0 + -6z -6 + -1z = -6z Solving -6 + -1z = -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -6 + -1z + 6z = -6z + 6z Combine like terms: -1z + 6z = 5z -6 + 5z = -6z + 6z Combine like terms: -6z + 6z = 0 -6 + 5z = 0 Add '6' to each side of the equation. -6 + 6 + 5z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = 0 + 6 5z = 0 + 6 Combine like terms: 0 + 6 = 6 5z = 6 Divide each side by '5'. z = 1.2 Simplifying z = 1.2
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