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Simplifying 4(k + 7) = -7 + -1(k + -5) Reorder the terms: 4(7 + k) = -7 + -1(k + -5) (7 * 4 + k * 4) = -7 + -1(k + -5) (28 + 4k) = -7 + -1(k + -5) Reorder the terms: 28 + 4k = -7 + -1(-5 + k) 28 + 4k = -7 + (-5 * -1 + k * -1) 28 + 4k = -7 + (5 + -1k) Combine like terms: -7 + 5 = -2 28 + 4k = -2 + -1k Solving 28 + 4k = -2 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 28 + 4k + k = -2 + -1k + k Combine like terms: 4k + k = 5k 28 + 5k = -2 + -1k + k Combine like terms: -1k + k = 0 28 + 5k = -2 + 0 28 + 5k = -2 Add '-28' to each side of the equation. 28 + -28 + 5k = -2 + -28 Combine like terms: 28 + -28 = 0 0 + 5k = -2 + -28 5k = -2 + -28 Combine like terms: -2 + -28 = -30 5k = -30 Divide each side by '5'. k = -6 Simplifying k = -6
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