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Simplifying -3k + -39 = 8(7x + -5) + 1 Reorder the terms: -39 + -3k = 8(7x + -5) + 1 Reorder the terms: -39 + -3k = 8(-5 + 7x) + 1 -39 + -3k = (-5 * 8 + 7x * 8) + 1 -39 + -3k = (-40 + 56x) + 1 Reorder the terms: -39 + -3k = -40 + 1 + 56x Combine like terms: -40 + 1 = -39 -39 + -3k = -39 + 56x Add '39' to each side of the equation. -39 + 39 + -3k = -39 + 39 + 56x Combine like terms: -39 + 39 = 0 0 + -3k = -39 + 39 + 56x -3k = -39 + 39 + 56x Combine like terms: -39 + 39 = 0 -3k = 0 + 56x -3k = 56x Solving -3k = 56x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-3'. k = -18.66666667x Simplifying k = -18.66666667x
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