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Simplifying 6(k + -2) + -7 = 6k + -1(5k + -3) Reorder the terms: 6(-2 + k) + -7 = 6k + -1(5k + -3) (-2 * 6 + k * 6) + -7 = 6k + -1(5k + -3) (-12 + 6k) + -7 = 6k + -1(5k + -3) Reorder the terms: -12 + -7 + 6k = 6k + -1(5k + -3) Combine like terms: -12 + -7 = -19 -19 + 6k = 6k + -1(5k + -3) Reorder the terms: -19 + 6k = 6k + -1(-3 + 5k) -19 + 6k = 6k + (-3 * -1 + 5k * -1) -19 + 6k = 6k + (3 + -5k) Reorder the terms: -19 + 6k = 3 + 6k + -5k Combine like terms: 6k + -5k = 1k -19 + 6k = 3 + 1k Solving -19 + 6k = 3 + 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 = 3 + 1k + -1k Combine like terms: 6k + -1k = 5k -19 + 5k = 3 + 1k + -1k Combine like terms: 1k + -1k = 0 -19 + 5k = 3 + 0 -19 + 5k = 3 Add '19' to each side of the equation. -19 + 19 + 5k = 3 + 19 Combine like terms: -19 + 19 = 0 0 + 5k = 3 + 19 5k = 3 + 19 Combine like terms: 3 + 19 = 22 5k = 22 Divide each side by '5'. k = 4.4 Simplifying k = 4.4
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