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Simplifying 4(k + -3) = 7 + -1(2k + -5) Reorder the terms: 4(-3 + k) = 7 + -1(2k + -5) (-3 * 4 + k * 4) = 7 + -1(2k + -5) (-12 + 4k) = 7 + -1(2k + -5) Reorder the terms: -12 + 4k = 7 + -1(-5 + 2k) -12 + 4k = 7 + (-5 * -1 + 2k * -1) -12 + 4k = 7 + (5 + -2k) Combine like terms: 7 + 5 = 12 -12 + 4k = 12 + -2k Solving -12 + 4k = 12 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -12 + 4k + 2k = 12 + -2k + 2k Combine like terms: 4k + 2k = 6k -12 + 6k = 12 + -2k + 2k Combine like terms: -2k + 2k = 0 -12 + 6k = 12 + 0 -12 + 6k = 12 Add '12' to each side of the equation. -12 + 12 + 6k = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6k = 12 + 12 6k = 12 + 12 Combine like terms: 12 + 12 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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