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Simplifying 3 + -10z = 3(2z + -6) Reorder the terms: 3 + -10z = 3(-6 + 2z) 3 + -10z = (-6 * 3 + 2z * 3) 3 + -10z = (-18 + 6z) Solving 3 + -10z = -18 + 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. 3 + -10z + -6z = -18 + 6z + -6z Combine like terms: -10z + -6z = -16z 3 + -16z = -18 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + -16z = -18 + 0 3 + -16z = -18 Add '-3' to each side of the equation. 3 + -3 + -16z = -18 + -3 Combine like terms: 3 + -3 = 0 0 + -16z = -18 + -3 -16z = -18 + -3 Combine like terms: -18 + -3 = -21 -16z = -21 Divide each side by '-16'. z = 1.3125 Simplifying z = 1.3125
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