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Simplifying 0.6e + -6 = -0.4(e + -10) + -7 Reorder the terms: -6 + 0.6e = -0.4(e + -10) + -7 Reorder the terms: -6 + 0.6e = -0.4(-10 + e) + -7 -6 + 0.6e = (-10 * -0.4 + e * -0.4) + -7 -6 + 0.6e = (4 + -0.4e) + -7 Reorder the terms: -6 + 0.6e = 4 + -7 + -0.4e Combine like terms: 4 + -7 = -3 -6 + 0.6e = -3 + -0.4e Solving -6 + 0.6e = -3 + -0.4e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '0.4e' to each side of the equation. -6 + 0.6e + 0.4e = -3 + -0.4e + 0.4e Combine like terms: 0.6e + 0.4e = 1e -6 + 1e = -3 + -0.4e + 0.4e Combine like terms: -0.4e + 0.4e = 0.0 -6 + 1e = -3 + 0.0 -6 + 1e = -3 Add '6' to each side of the equation. -6 + 6 + 1e = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 1e = -3 + 6 1e = -3 + 6 Combine like terms: -3 + 6 = 3 1e = 3 Divide each side by '1'. e = 3 Simplifying e = 3
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