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Simplifying 2(-7 + z) + 10(2z + -3) = 0 (-7 * 2 + z * 2) + 10(2z + -3) = 0 (-14 + 2z) + 10(2z + -3) = 0 Reorder the terms: -14 + 2z + 10(-3 + 2z) = 0 -14 + 2z + (-3 * 10 + 2z * 10) = 0 -14 + 2z + (-30 + 20z) = 0 Reorder the terms: -14 + -30 + 2z + 20z = 0 Combine like terms: -14 + -30 = -44 -44 + 2z + 20z = 0 Combine like terms: 2z + 20z = 22z -44 + 22z = 0 Solving -44 + 22z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 22z = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 22z = 0 + 44 22z = 0 + 44 Combine like terms: 0 + 44 = 44 22z = 44 Divide each side by '22'. z = 2 Simplifying z = 2
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