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Simplifying 4(k + -2) + -7 = 3k + -1(2k + -3) Reorder the terms: 4(-2 + k) + -7 = 3k + -1(2k + -3) (-2 * 4 + k * 4) + -7 = 3k + -1(2k + -3) (-8 + 4k) + -7 = 3k + -1(2k + -3) Reorder the terms: -8 + -7 + 4k = 3k + -1(2k + -3) Combine like terms: -8 + -7 = -15 -15 + 4k = 3k + -1(2k + -3) Reorder the terms: -15 + 4k = 3k + -1(-3 + 2k) -15 + 4k = 3k + (-3 * -1 + 2k * -1) -15 + 4k = 3k + (3 + -2k) Reorder the terms: -15 + 4k = 3 + 3k + -2k Combine like terms: 3k + -2k = 1k -15 + 4k = 3 + 1k Solving -15 + 4k = 3 + 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. -15 + 4k + -1k = 3 + 1k + -1k Combine like terms: 4k + -1k = 3k -15 + 3k = 3 + 1k + -1k Combine like terms: 1k + -1k = 0 -15 + 3k = 3 + 0 -15 + 3k = 3 Add '15' to each side of the equation. -15 + 15 + 3k = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 3k = 3 + 15 3k = 3 + 15 Combine like terms: 3 + 15 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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