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Simplifying 6(k + -2) + -7 = 5k + -1(4k + -2) Reorder the terms: 6(-2 + k) + -7 = 5k + -1(4k + -2) (-2 * 6 + k * 6) + -7 = 5k + -1(4k + -2) (-12 + 6k) + -7 = 5k + -1(4k + -2) Reorder the terms: -12 + -7 + 6k = 5k + -1(4k + -2) Combine like terms: -12 + -7 = -19 -19 + 6k = 5k + -1(4k + -2) Reorder the terms: -19 + 6k = 5k + -1(-2 + 4k) -19 + 6k = 5k + (-2 * -1 + 4k * -1) -19 + 6k = 5k + (2 + -4k) Reorder the terms: -19 + 6k = 2 + 5k + -4k Combine like terms: 5k + -4k = 1k -19 + 6k = 2 + 1k Solving -19 + 6k = 2 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -19 + 6k + -1k = 2 + 1k + -1k Combine like terms: 6k + -1k = 5k -19 + 5k = 2 + 1k + -1k Combine like terms: 1k + -1k = 0 -19 + 5k = 2 + 0 -19 + 5k = 2 Add '19' to each side of the equation. -19 + 19 + 5k = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 5k = 2 + 19 5k = 2 + 19 Combine like terms: 2 + 19 = 21 5k = 21 Divide each side by '5'. k = 4.2 Simplifying k = 4.2
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