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Simplifying 6x + -8 + -2k = 6x + -7 Reorder the terms: -8 + -2k + 6x = 6x + -7 Reorder the terms: -8 + -2k + 6x = -7 + 6x Add '-6x' to each side of the equation. -8 + -2k + 6x + -6x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2k + 0 = -7 + 6x + -6x -8 + -2k = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2k = -7 + 0 -8 + -2k = -7 Solving -8 + -2k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2k = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -2k = -7 + 8 -2k = -7 + 8 Combine like terms: -7 + 8 = 1 -2k = 1 Divide each side by '-2'. k = -0.5 Simplifying k = -0.5
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