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Simplifying 5 = -7z + 2(10z + 3) Reorder the terms: 5 = -7z + 2(3 + 10z) 5 = -7z + (3 * 2 + 10z * 2) 5 = -7z + (6 + 20z) Reorder the terms: 5 = 6 + -7z + 20z Combine like terms: -7z + 20z = 13z 5 = 6 + 13z Solving 5 = 6 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 5 + -13z = 6 + 13z + -13z Combine like terms: 13z + -13z = 0 5 + -13z = 6 + 0 5 + -13z = 6 Add '-5' to each side of the equation. 5 + -5 + -13z = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -13z = 6 + -5 -13z = 6 + -5 Combine like terms: 6 + -5 = 1 -13z = 1 Divide each side by '-13'. z = -0.07692307692 Simplifying z = -0.07692307692
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