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Simplifying 8(e + 2) + -3(e + -4) = 6(e + -7) + 8 Reorder the terms: 8(2 + e) + -3(e + -4) = 6(e + -7) + 8 (2 * 8 + e * 8) + -3(e + -4) = 6(e + -7) + 8 (16 + 8e) + -3(e + -4) = 6(e + -7) + 8 Reorder the terms: 16 + 8e + -3(-4 + e) = 6(e + -7) + 8 16 + 8e + (-4 * -3 + e * -3) = 6(e + -7) + 8 16 + 8e + (12 + -3e) = 6(e + -7) + 8 Reorder the terms: 16 + 12 + 8e + -3e = 6(e + -7) + 8 Combine like terms: 16 + 12 = 28 28 + 8e + -3e = 6(e + -7) + 8 Combine like terms: 8e + -3e = 5e 28 + 5e = 6(e + -7) + 8 Reorder the terms: 28 + 5e = 6(-7 + e) + 8 28 + 5e = (-7 * 6 + e * 6) + 8 28 + 5e = (-42 + 6e) + 8 Reorder the terms: 28 + 5e = -42 + 8 + 6e Combine like terms: -42 + 8 = -34 28 + 5e = -34 + 6e Solving 28 + 5e = -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. 28 + 5e + -6e = -34 + 6e + -6e Combine like terms: 5e + -6e = -1e 28 + -1e = -34 + 6e + -6e Combine like terms: 6e + -6e = 0 28 + -1e = -34 + 0 28 + -1e = -34 Add '-28' to each side of the equation. 28 + -28 + -1e = -34 + -28 Combine like terms: 28 + -28 = 0 0 + -1e = -34 + -28 -1e = -34 + -28 Combine like terms: -34 + -28 = -62 -1e = -62 Divide each side by '-1'. e = 62 Simplifying e = 62
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