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Simplifying 3z + 7 = 2(8z + -14) Reorder the terms: 7 + 3z = 2(8z + -14) Reorder the terms: 7 + 3z = 2(-14 + 8z) 7 + 3z = (-14 * 2 + 8z * 2) 7 + 3z = (-28 + 16z) Solving 7 + 3z = -28 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 7 + 3z + -16z = -28 + 16z + -16z Combine like terms: 3z + -16z = -13z 7 + -13z = -28 + 16z + -16z Combine like terms: 16z + -16z = 0 7 + -13z = -28 + 0 7 + -13z = -28 Add '-7' to each side of the equation. 7 + -7 + -13z = -28 + -7 Combine like terms: 7 + -7 = 0 0 + -13z = -28 + -7 -13z = -28 + -7 Combine like terms: -28 + -7 = -35 -13z = -35 Divide each side by '-13'. z = 2.692307692 Simplifying z = 2.692307692
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