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Simplifying 7 + 2(3 + -4z) = 7z + 2(3z + -4) 7 + (3 * 2 + -4z * 2) = 7z + 2(3z + -4) 7 + (6 + -8z) = 7z + 2(3z + -4) Combine like terms: 7 + 6 = 13 13 + -8z = 7z + 2(3z + -4) Reorder the terms: 13 + -8z = 7z + 2(-4 + 3z) 13 + -8z = 7z + (-4 * 2 + 3z * 2) 13 + -8z = 7z + (-8 + 6z) Reorder the terms: 13 + -8z = -8 + 7z + 6z Combine like terms: 7z + 6z = 13z 13 + -8z = -8 + 13z Solving 13 + -8z = -8 + 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. 13 + -8z + -13z = -8 + 13z + -13z Combine like terms: -8z + -13z = -21z 13 + -21z = -8 + 13z + -13z Combine like terms: 13z + -13z = 0 13 + -21z = -8 + 0 13 + -21z = -8 Add '-13' to each side of the equation. 13 + -13 + -21z = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -21z = -8 + -13 -21z = -8 + -13 Combine like terms: -8 + -13 = -21 -21z = -21 Divide each side by '-21'. z = 1 Simplifying z = 1
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