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Simplifying 8(e + 2.5) = 8(4e + -2) Reorder the terms: 8(2.5 + e) = 8(4e + -2) (2.5 * 8 + e * 8) = 8(4e + -2) (20 + 8e) = 8(4e + -2) Reorder the terms: 20 + 8e = 8(-2 + 4e) 20 + 8e = (-2 * 8 + 4e * 8) 20 + 8e = (-16 + 32e) Solving 20 + 8e = -16 + 32e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-32e' to each side of the equation. 20 + 8e + -32e = -16 + 32e + -32e Combine like terms: 8e + -32e = -24e 20 + -24e = -16 + 32e + -32e Combine like terms: 32e + -32e = 0 20 + -24e = -16 + 0 20 + -24e = -16 Add '-20' to each side of the equation. 20 + -20 + -24e = -16 + -20 Combine like terms: 20 + -20 = 0 0 + -24e = -16 + -20 -24e = -16 + -20 Combine like terms: -16 + -20 = -36 -24e = -36 Divide each side by '-24'. e = 1.5 Simplifying e = 1.5
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