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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 = -19 -19 + 4k = 2k + -1(k + 8) Reorder the terms: -19 + 4k = 2k + -1(8 + k) -19 + 4k = 2k + (8 * -1 + k * -1) -19 + 4k = 2k + (-8 + -1k) Reorder the terms: -19 + 4k = -8 + 2k + -1k Combine like terms: 2k + -1k = 1k -19 + 4k = -8 + 1k Solving -19 + 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. -19 + 4k + -1k = -8 + 1k + -1k Combine like terms: 4k + -1k = 3k -19 + 3k = -8 + 1k + -1k Combine like terms: 1k + -1k = 0 -19 + 3k = -8 + 0 -19 + 3k = -8 Add '19' to each side of the equation. -19 + 19 + 3k = -8 + 19 Combine like terms: -19 + 19 = 0 0 + 3k = -8 + 19 3k = -8 + 19 Combine like terms: -8 + 19 = 11 3k = 11 Divide each side by '3'. k = 3.666666667 Simplifying k = 3.666666667
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