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Simplifying 7 + 4(k + -3) + 6k = 0 Reorder the terms: 7 + 4(-3 + k) + 6k = 0 7 + (-3 * 4 + k * 4) + 6k = 0 7 + (-12 + 4k) + 6k = 0 Combine like terms: 7 + -12 = -5 -5 + 4k + 6k = 0 Combine like terms: 4k + 6k = 10k -5 + 10k = 0 Solving -5 + 10k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 10k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10k = 0 + 5 10k = 0 + 5 Combine like terms: 0 + 5 = 5 10k = 5 Divide each side by '10'. k = 0.5 Simplifying k = 0.5
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