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Simplifying 5(-2k + -3) = -1(4k + 7) Reorder the terms: 5(-3 + -2k) = -1(4k + 7) (-3 * 5 + -2k * 5) = -1(4k + 7) (-15 + -10k) = -1(4k + 7) Reorder the terms: -15 + -10k = -1(7 + 4k) -15 + -10k = (7 * -1 + 4k * -1) -15 + -10k = (-7 + -4k) Solving -15 + -10k = -7 + -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. -15 + -10k + 4k = -7 + -4k + 4k Combine like terms: -10k + 4k = -6k -15 + -6k = -7 + -4k + 4k Combine like terms: -4k + 4k = 0 -15 + -6k = -7 + 0 -15 + -6k = -7 Add '15' to each side of the equation. -15 + 15 + -6k = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -6k = -7 + 15 -6k = -7 + 15 Combine like terms: -7 + 15 = 8 -6k = 8 Divide each side by '-6'. k = -1.333333333 Simplifying k = -1.333333333
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