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Simplifying 80 = 6(2z + -1) + -2(7 + -4x) Reorder the terms: 80 = 6(-1 + 2z) + -2(7 + -4x) 80 = (-1 * 6 + 2z * 6) + -2(7 + -4x) 80 = (-6 + 12z) + -2(7 + -4x) 80 = -6 + 12z + (7 * -2 + -4x * -2) 80 = -6 + 12z + (-14 + 8x) Reorder the terms: 80 = -6 + -14 + 8x + 12z Combine like terms: -6 + -14 = -20 80 = -20 + 8x + 12z Solving 80 = -20 + 8x + 12z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 80 + -8x = -20 + 8x + -8x + 12z Combine like terms: 8x + -8x = 0 80 + -8x = -20 + 0 + 12z 80 + -8x = -20 + 12z Add '-80' to each side of the equation. 80 + -80 + -8x = -20 + -80 + 12z Combine like terms: 80 + -80 = 0 0 + -8x = -20 + -80 + 12z -8x = -20 + -80 + 12z Combine like terms: -20 + -80 = -100 -8x = -100 + 12z Divide each side by '-8'. x = 12.5 + -1.5z Simplifying x = 12.5 + -1.5z
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