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Simplifying 6(x + -1men) + 10 = 2(3x + -4) Reorder the terms: 6(-1emn + x) + 10 = 2(3x + -4) (-1emn * 6 + x * 6) + 10 = 2(3x + -4) (-6emn + 6x) + 10 = 2(3x + -4) Reorder the terms: 10 + -6emn + 6x = 2(3x + -4) Reorder the terms: 10 + -6emn + 6x = 2(-4 + 3x) 10 + -6emn + 6x = (-4 * 2 + 3x * 2) 10 + -6emn + 6x = (-8 + 6x) Add '-6x' to each side of the equation. 10 + -6emn + 6x + -6x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -6emn + 0 = -8 + 6x + -6x 10 + -6emn = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -6emn = -8 + 0 10 + -6emn = -8 Solving 10 + -6emn = -8 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -6emn = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6emn = -8 + -10 -6emn = -8 + -10 Combine like terms: -8 + -10 = -18 -6emn = -18 Divide each side by '-6mn'. e = 3m-1n-1 Simplifying e = 3m-1n-1
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