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Simplifying 3(k + -2) + -7 = 3(2k + -3) Reorder the terms: 3(-2 + k) + -7 = 3(2k + -3) (-2 * 3 + k * 3) + -7 = 3(2k + -3) (-6 + 3k) + -7 = 3(2k + -3) Reorder the terms: -6 + -7 + 3k = 3(2k + -3) Combine like terms: -6 + -7 = -13 -13 + 3k = 3(2k + -3) Reorder the terms: -13 + 3k = 3(-3 + 2k) -13 + 3k = (-3 * 3 + 2k * 3) -13 + 3k = (-9 + 6k) Solving -13 + 3k = -9 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -13 + 3k + -6k = -9 + 6k + -6k Combine like terms: 3k + -6k = -3k -13 + -3k = -9 + 6k + -6k Combine like terms: 6k + -6k = 0 -13 + -3k = -9 + 0 -13 + -3k = -9 Add '13' to each side of the equation. -13 + 13 + -3k = -9 + 13 Combine like terms: -13 + 13 = 0 0 + -3k = -9 + 13 -3k = -9 + 13 Combine like terms: -9 + 13 = 4 -3k = 4 Divide each side by '-3'. k = -1.333333333 Simplifying k = -1.333333333
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