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Simplifying 7(3k + -4) + -5(k + 2) = 0 Reorder the terms: 7(-4 + 3k) + -5(k + 2) = 0 (-4 * 7 + 3k * 7) + -5(k + 2) = 0 (-28 + 21k) + -5(k + 2) = 0 Reorder the terms: -28 + 21k + -5(2 + k) = 0 -28 + 21k + (2 * -5 + k * -5) = 0 -28 + 21k + (-10 + -5k) = 0 Reorder the terms: -28 + -10 + 21k + -5k = 0 Combine like terms: -28 + -10 = -38 -38 + 21k + -5k = 0 Combine like terms: 21k + -5k = 16k -38 + 16k = 0 Solving -38 + 16k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 16k = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 16k = 0 + 38 16k = 0 + 38 Combine like terms: 0 + 38 = 38 16k = 38 Divide each side by '16'. k = 2.375 Simplifying k = 2.375
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