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Simplifying 5(k + -2) + -7 = 4k + -1(3k + -1) Reorder the terms: 5(-2 + k) + -7 = 4k + -1(3k + -1) (-2 * 5 + k * 5) + -7 = 4k + -1(3k + -1) (-10 + 5k) + -7 = 4k + -1(3k + -1) Reorder the terms: -10 + -7 + 5k = 4k + -1(3k + -1) Combine like terms: -10 + -7 = -17 -17 + 5k = 4k + -1(3k + -1) Reorder the terms: -17 + 5k = 4k + -1(-1 + 3k) -17 + 5k = 4k + (-1 * -1 + 3k * -1) -17 + 5k = 4k + (1 + -3k) Reorder the terms: -17 + 5k = 1 + 4k + -3k Combine like terms: 4k + -3k = 1k -17 + 5k = 1 + 1k Solving -17 + 5k = 1 + 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. -17 + 5k + -1k = 1 + 1k + -1k Combine like terms: 5k + -1k = 4k -17 + 4k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -17 + 4k = 1 + 0 -17 + 4k = 1 Add '17' to each side of the equation. -17 + 17 + 4k = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 4k = 1 + 17 4k = 1 + 17 Combine like terms: 1 + 17 = 18 4k = 18 Divide each side by '4'. k = 4.5 Simplifying k = 4.5
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