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Simplifying 4k + -5(7 + k) = 10 4k + (7 * -5 + k * -5) = 10 4k + (-35 + -5k) = 10 Reorder the terms: -35 + 4k + -5k = 10 Combine like terms: 4k + -5k = -1k -35 + -1k = 10 Solving -35 + -1k = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1k = 10 + 35 Combine like terms: -35 + 35 = 0 0 + -1k = 10 + 35 -1k = 10 + 35 Combine like terms: 10 + 35 = 45 -1k = 45 Divide each side by '-1'. k = -45 Simplifying k = -45
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