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Simplifying -2k + -2 = 4 + 4(k + -3) Reorder the terms: -2 + -2k = 4 + 4(k + -3) Reorder the terms: -2 + -2k = 4 + 4(-3 + k) -2 + -2k = 4 + (-3 * 4 + k * 4) -2 + -2k = 4 + (-12 + 4k) Combine like terms: 4 + -12 = -8 -2 + -2k = -8 + 4k Solving -2 + -2k = -8 + 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. -2 + -2k + -4k = -8 + 4k + -4k Combine like terms: -2k + -4k = -6k -2 + -6k = -8 + 4k + -4k Combine like terms: 4k + -4k = 0 -2 + -6k = -8 + 0 -2 + -6k = -8 Add '2' to each side of the equation. -2 + 2 + -6k = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -6k = -8 + 2 -6k = -8 + 2 Combine like terms: -8 + 2 = -6 -6k = -6 Divide each side by '-6'. k = 1 Simplifying k = 1
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