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Simplifying 5(k + 1) + -1(4k + -3) = -7 Reorder the terms: 5(1 + k) + -1(4k + -3) = -7 (1 * 5 + k * 5) + -1(4k + -3) = -7 (5 + 5k) + -1(4k + -3) = -7 Reorder the terms: 5 + 5k + -1(-3 + 4k) = -7 5 + 5k + (-3 * -1 + 4k * -1) = -7 5 + 5k + (3 + -4k) = -7 Reorder the terms: 5 + 3 + 5k + -4k = -7 Combine like terms: 5 + 3 = 8 8 + 5k + -4k = -7 Combine like terms: 5k + -4k = 1k 8 + 1k = -7 Solving 8 + 1k = -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 + 1k = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 1k = -7 + -8 1k = -7 + -8 Combine like terms: -7 + -8 = -15 1k = -15 Divide each side by '1'. k = -15 Simplifying k = -15
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