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Simplifying -46k + -19(l + -8) + -1(4 + -2k) = 0 Reorder the terms: -46k + -19(-8 + l) + -1(4 + -2k) = 0 -46k + (-8 * -19 + l * -19) + -1(4 + -2k) = 0 -46k + (152 + -19l) + -1(4 + -2k) = 0 -46k + 152 + -19l + (4 * -1 + -2k * -1) = 0 -46k + 152 + -19l + (-4 + 2k) = 0 Reorder the terms: 152 + -4 + -46k + 2k + -19l = 0 Combine like terms: 152 + -4 = 148 148 + -46k + 2k + -19l = 0 Combine like terms: -46k + 2k = -44k 148 + -44k + -19l = 0 Solving 148 + -44k + -19l = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-148' to each side of the equation. 148 + -44k + -148 + -19l = 0 + -148 Reorder the terms: 148 + -148 + -44k + -19l = 0 + -148 Combine like terms: 148 + -148 = 0 0 + -44k + -19l = 0 + -148 -44k + -19l = 0 + -148 Combine like terms: 0 + -148 = -148 -44k + -19l = -148 Add '19l' to each side of the equation. -44k + -19l + 19l = -148 + 19l Combine like terms: -19l + 19l = 0 -44k + 0 = -148 + 19l -44k = -148 + 19l Divide each side by '-44'. k = 3.363636364 + -0.4318181818l Simplifying k = 3.363636364 + -0.4318181818l
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