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Simplifying 6(k + -5) + 7(7k + -3) = 4 Reorder the terms: 6(-5 + k) + 7(7k + -3) = 4 (-5 * 6 + k * 6) + 7(7k + -3) = 4 (-30 + 6k) + 7(7k + -3) = 4 Reorder the terms: -30 + 6k + 7(-3 + 7k) = 4 -30 + 6k + (-3 * 7 + 7k * 7) = 4 -30 + 6k + (-21 + 49k) = 4 Reorder the terms: -30 + -21 + 6k + 49k = 4 Combine like terms: -30 + -21 = -51 -51 + 6k + 49k = 4 Combine like terms: 6k + 49k = 55k -51 + 55k = 4 Solving -51 + 55k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 55k = 4 + 51 Combine like terms: -51 + 51 = 0 0 + 55k = 4 + 51 55k = 4 + 51 Combine like terms: 4 + 51 = 55 55k = 55 Divide each side by '55'. k = 1 Simplifying k = 1
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