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Simplifying 1 + -4(k + 3) = k + -1(k + 3) Reorder the terms: 1 + -4(3 + k) = k + -1(k + 3) 1 + (3 * -4 + k * -4) = k + -1(k + 3) 1 + (-12 + -4k) = k + -1(k + 3) Combine like terms: 1 + -12 = -11 -11 + -4k = k + -1(k + 3) Reorder the terms: -11 + -4k = k + -1(3 + k) -11 + -4k = k + (3 * -1 + k * -1) -11 + -4k = k + (-3 + -1k) Reorder the terms: -11 + -4k = -3 + k + -1k Combine like terms: k + -1k = 0 -11 + -4k = -3 + 0 -11 + -4k = -3 Solving -11 + -4k = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4k = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -4k = -3 + 11 -4k = -3 + 11 Combine like terms: -3 + 11 = 8 -4k = 8 Divide each side by '-4'. k = -2 Simplifying k = -2
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