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Simplifying 4 + -5(1 + 3k) = -39 + 4k 4 + (1 * -5 + 3k * -5) = -39 + 4k 4 + (-5 + -15k) = -39 + 4k Combine like terms: 4 + -5 = -1 -1 + -15k = -39 + 4k Solving -1 + -15k = -39 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -1 + -15k + -4k = -39 + 4k + -4k Combine like terms: -15k + -4k = -19k -1 + -19k = -39 + 4k + -4k Combine like terms: 4k + -4k = 0 -1 + -19k = -39 + 0 -1 + -19k = -39 Add '1' to each side of the equation. -1 + 1 + -19k = -39 + 1 Combine like terms: -1 + 1 = 0 0 + -19k = -39 + 1 -19k = -39 + 1 Combine like terms: -39 + 1 = -38 -19k = -38 Divide each side by '-19'. k = 2 Simplifying k = 2
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