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Simplifying 2(3z + -7) = 2z + -13 Reorder the terms: 2(-7 + 3z) = 2z + -13 (-7 * 2 + 3z * 2) = 2z + -13 (-14 + 6z) = 2z + -13 Reorder the terms: -14 + 6z = -13 + 2z Solving -14 + 6z = -13 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -14 + 6z + -2z = -13 + 2z + -2z Combine like terms: 6z + -2z = 4z -14 + 4z = -13 + 2z + -2z Combine like terms: 2z + -2z = 0 -14 + 4z = -13 + 0 -14 + 4z = -13 Add '14' to each side of the equation. -14 + 14 + 4z = -13 + 14 Combine like terms: -14 + 14 = 0 0 + 4z = -13 + 14 4z = -13 + 14 Combine like terms: -13 + 14 = 1 4z = 1 Divide each side by '4'. z = 0.25 Simplifying z = 0.25
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