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Simplifying -1(2k + 7) = -4(1 + -6k) + -3 Reorder the terms: -1(7 + 2k) = -4(1 + -6k) + -3 (7 * -1 + 2k * -1) = -4(1 + -6k) + -3 (-7 + -2k) = -4(1 + -6k) + -3 -7 + -2k = (1 * -4 + -6k * -4) + -3 -7 + -2k = (-4 + 24k) + -3 Reorder the terms: -7 + -2k = -4 + -3 + 24k Combine like terms: -4 + -3 = -7 -7 + -2k = -7 + 24k Add '7' to each side of the equation. -7 + 7 + -2k = -7 + 7 + 24k Combine like terms: -7 + 7 = 0 0 + -2k = -7 + 7 + 24k -2k = -7 + 7 + 24k Combine like terms: -7 + 7 = 0 -2k = 0 + 24k -2k = 24k Solving -2k = 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -2k + -24k = 24k + -24k Combine like terms: -2k + -24k = -26k -26k = 24k + -24k Combine like terms: 24k + -24k = 0 -26k = 0 Divide each side by '-26'. k = 0 Simplifying k = 0
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