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Simplifying 2(-2z + -6) + -1(10 + 5z) = 0 Reorder the terms: 2(-6 + -2z) + -1(10 + 5z) = 0 (-6 * 2 + -2z * 2) + -1(10 + 5z) = 0 (-12 + -4z) + -1(10 + 5z) = 0 -12 + -4z + (10 * -1 + 5z * -1) = 0 -12 + -4z + (-10 + -5z) = 0 Reorder the terms: -12 + -10 + -4z + -5z = 0 Combine like terms: -12 + -10 = -22 -22 + -4z + -5z = 0 Combine like terms: -4z + -5z = -9z -22 + -9z = 0 Solving -22 + -9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -9z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -9z = 0 + 22 -9z = 0 + 22 Combine like terms: 0 + 22 = 22 -9z = 22 Divide each side by '-9'. z = -2.444444444 Simplifying z = -2.444444444
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