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Simplifying 6(z + -4) + -1(-5z + -2) = 10z Reorder the terms: 6(-4 + z) + -1(-5z + -2) = 10z (-4 * 6 + z * 6) + -1(-5z + -2) = 10z (-24 + 6z) + -1(-5z + -2) = 10z Reorder the terms: -24 + 6z + -1(-2 + -5z) = 10z -24 + 6z + (-2 * -1 + -5z * -1) = 10z -24 + 6z + (2 + 5z) = 10z Reorder the terms: -24 + 2 + 6z + 5z = 10z Combine like terms: -24 + 2 = -22 -22 + 6z + 5z = 10z Combine like terms: 6z + 5z = 11z -22 + 11z = 10z Solving -22 + 11z = 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -22 + 11z + -10z = 10z + -10z Combine like terms: 11z + -10z = 1z -22 + 1z = 10z + -10z Combine like terms: 10z + -10z = 0 -22 + 1z = 0 Add '22' to each side of the equation. -22 + 22 + 1z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1z = 0 + 22 1z = 0 + 22 Combine like terms: 0 + 22 = 22 1z = 22 Divide each side by '1'. z = 22 Simplifying z = 22
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