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Simplifying 4(k + -7) + -7(4 + 7k) = 79 Reorder the terms: 4(-7 + k) + -7(4 + 7k) = 79 (-7 * 4 + k * 4) + -7(4 + 7k) = 79 (-28 + 4k) + -7(4 + 7k) = 79 -28 + 4k + (4 * -7 + 7k * -7) = 79 -28 + 4k + (-28 + -49k) = 79 Reorder the terms: -28 + -28 + 4k + -49k = 79 Combine like terms: -28 + -28 = -56 -56 + 4k + -49k = 79 Combine like terms: 4k + -49k = -45k -56 + -45k = 79 Solving -56 + -45k = 79 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -45k = 79 + 56 Combine like terms: -56 + 56 = 0 0 + -45k = 79 + 56 -45k = 79 + 56 Combine like terms: 79 + 56 = 135 -45k = 135 Divide each side by '-45'. k = -3 Simplifying k = -3
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