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Simplifying 3(k + -2) + -7 = 3k + -1(2k + -1) Reorder the terms: 3(-2 + k) + -7 = 3k + -1(2k + -1) (-2 * 3 + k * 3) + -7 = 3k + -1(2k + -1) (-6 + 3k) + -7 = 3k + -1(2k + -1) Reorder the terms: -6 + -7 + 3k = 3k + -1(2k + -1) Combine like terms: -6 + -7 = -13 -13 + 3k = 3k + -1(2k + -1) Reorder the terms: -13 + 3k = 3k + -1(-1 + 2k) -13 + 3k = 3k + (-1 * -1 + 2k * -1) -13 + 3k = 3k + (1 + -2k) Reorder the terms: -13 + 3k = 1 + 3k + -2k Combine like terms: 3k + -2k = 1k -13 + 3k = 1 + 1k Solving -13 + 3k = 1 + 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. -13 + 3k + -1k = 1 + 1k + -1k Combine like terms: 3k + -1k = 2k -13 + 2k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -13 + 2k = 1 + 0 -13 + 2k = 1 Add '13' to each side of the equation. -13 + 13 + 2k = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 2k = 1 + 13 2k = 1 + 13 Combine like terms: 1 + 13 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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