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Simplifying 5(2k + -6) + -3e = 21 Reorder the terms: 5(-6 + 2k) + -3e = 21 (-6 * 5 + 2k * 5) + -3e = 21 (-30 + 10k) + -3e = 21 Reorder the terms: -30 + -3e + 10k = 21 Solving -30 + -3e + 10k = 21 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -3e + 30 + 10k = 21 + 30 Reorder the terms: -30 + 30 + -3e + 10k = 21 + 30 Combine like terms: -30 + 30 = 0 0 + -3e + 10k = 21 + 30 -3e + 10k = 21 + 30 Combine like terms: 21 + 30 = 51 -3e + 10k = 51 Add '-10k' to each side of the equation. -3e + 10k + -10k = 51 + -10k Combine like terms: 10k + -10k = 0 -3e + 0 = 51 + -10k -3e = 51 + -10k Divide each side by '-3'. e = -17 + 3.333333333k Simplifying e = -17 + 3.333333333k
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