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Simplifying 8(e + -4) = 6(e + -7) + 8 Reorder the terms: 8(-4 + e) = 6(e + -7) + 8 (-4 * 8 + e * 8) = 6(e + -7) + 8 (-32 + 8e) = 6(e + -7) + 8 Reorder the terms: -32 + 8e = 6(-7 + e) + 8 -32 + 8e = (-7 * 6 + e * 6) + 8 -32 + 8e = (-42 + 6e) + 8 Reorder the terms: -32 + 8e = -42 + 8 + 6e Combine like terms: -42 + 8 = -34 -32 + 8e = -34 + 6e Solving -32 + 8e = -34 + 6e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e' to each side of the equation. -32 + 8e + -6e = -34 + 6e + -6e Combine like terms: 8e + -6e = 2e -32 + 2e = -34 + 6e + -6e Combine like terms: 6e + -6e = 0 -32 + 2e = -34 + 0 -32 + 2e = -34 Add '32' to each side of the equation. -32 + 32 + 2e = -34 + 32 Combine like terms: -32 + 32 = 0 0 + 2e = -34 + 32 2e = -34 + 32 Combine like terms: -34 + 32 = -2 2e = -2 Divide each side by '2'. e = -1 Simplifying e = -1
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