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Simplifying 4(k + -3) + 7 = 2k + -1(k + -8) Reorder the terms: 4(-3 + k) + 7 = 2k + -1(k + -8) (-3 * 4 + k * 4) + 7 = 2k + -1(k + -8) (-12 + 4k) + 7 = 2k + -1(k + -8) Reorder the terms: -12 + 7 + 4k = 2k + -1(k + -8) Combine like terms: -12 + 7 = -5 -5 + 4k = 2k + -1(k + -8) Reorder the terms: -5 + 4k = 2k + -1(-8 + k) -5 + 4k = 2k + (-8 * -1 + k * -1) -5 + 4k = 2k + (8 + -1k) Reorder the terms: -5 + 4k = 8 + 2k + -1k Combine like terms: 2k + -1k = 1k -5 + 4k = 8 + 1k Solving -5 + 4k = 8 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -5 + 4k + -1k = 8 + 1k + -1k Combine like terms: 4k + -1k = 3k -5 + 3k = 8 + 1k + -1k Combine like terms: 1k + -1k = 0 -5 + 3k = 8 + 0 -5 + 3k = 8 Add '5' to each side of the equation. -5 + 5 + 3k = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 3k = 8 + 5 3k = 8 + 5 Combine like terms: 8 + 5 = 13 3k = 13 Divide each side by '3'. k = 4.333333333 Simplifying k = 4.333333333
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