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Simplifying 2(-11 + -19k) = 4(4 + -10k) (-11 * 2 + -19k * 2) = 4(4 + -10k) (-22 + -38k) = 4(4 + -10k) -22 + -38k = (4 * 4 + -10k * 4) -22 + -38k = (16 + -40k) Solving -22 + -38k = 16 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. -22 + -38k + 40k = 16 + -40k + 40k Combine like terms: -38k + 40k = 2k -22 + 2k = 16 + -40k + 40k Combine like terms: -40k + 40k = 0 -22 + 2k = 16 + 0 -22 + 2k = 16 Add '22' to each side of the equation. -22 + 22 + 2k = 16 + 22 Combine like terms: -22 + 22 = 0 0 + 2k = 16 + 22 2k = 16 + 22 Combine like terms: 16 + 22 = 38 2k = 38 Divide each side by '2'. k = 19 Simplifying k = 19
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