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Simplifying -2(z + -7) + -3(2z + -2) = 0 Reorder the terms: -2(-7 + z) + -3(2z + -2) = 0 (-7 * -2 + z * -2) + -3(2z + -2) = 0 (14 + -2z) + -3(2z + -2) = 0 Reorder the terms: 14 + -2z + -3(-2 + 2z) = 0 14 + -2z + (-2 * -3 + 2z * -3) = 0 14 + -2z + (6 + -6z) = 0 Reorder the terms: 14 + 6 + -2z + -6z = 0 Combine like terms: 14 + 6 = 20 20 + -2z + -6z = 0 Combine like terms: -2z + -6z = -8z 20 + -8z = 0 Solving 20 + -8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -8z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8z = 0 + -20 -8z = 0 + -20 Combine like terms: 0 + -20 = -20 -8z = -20 Divide each side by '-8'. z = 2.5 Simplifying z = 2.5
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