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Simplifying 4(k + 3) = 30 + -5ke Reorder the terms: 4(3 + k) = 30 + -5ke (3 * 4 + k * 4) = 30 + -5ke (12 + 4k) = 30 + -5ke Solving 12 + 4k = 30 + -5ek Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5ek' to each side of the equation. 12 + 5ek + 4k = 30 + -5ek + 5ek Combine like terms: -5ek + 5ek = 0 12 + 5ek + 4k = 30 + 0 12 + 5ek + 4k = 30 Add '-12' to each side of the equation. 12 + 5ek + -12 + 4k = 30 + -12 Reorder the terms: 12 + -12 + 5ek + 4k = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 5ek + 4k = 30 + -12 5ek + 4k = 30 + -12 Combine like terms: 30 + -12 = 18 5ek + 4k = 18 Reorder the terms: -18 + 5ek + 4k = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 5ek + 4k = 0 The solution to this equation could not be determined.
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