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Simplifying 2 + -5 + -7 = -4(k + -5) Combine like terms: 2 + -5 = -3 -3 + -7 = -4(k + -5) Combine like terms: -3 + -7 = -10 -10 = -4(k + -5) Reorder the terms: -10 = -4(-5 + k) -10 = (-5 * -4 + k * -4) -10 = (20 + -4k) Solving -10 = 20 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -10 + 4k = 20 + -4k + 4k Combine like terms: -4k + 4k = 0 -10 + 4k = 20 + 0 -10 + 4k = 20 Add '10' to each side of the equation. -10 + 10 + 4k = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 4k = 20 + 10 4k = 20 + 10 Combine like terms: 20 + 10 = 30 4k = 30 Divide each side by '4'. k = 7.5 Simplifying k = 7.5
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