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Simplifying h(2a + -7b) + -3k(2a + -7b) = 0 (2a * h + -7b * h) + -3k(2a + -7b) = 0 (2ah + -7bh) + -3k(2a + -7b) = 0 2ah + -7bh + (2a * -3k + -7b * -3k) = 0 2ah + -7bh + (-6ak + 21bk) = 0 Reorder the terms: 2ah + -6ak + -7bh + 21bk = 0 Solving 2ah + -6ak + -7bh + 21bk = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7bh' to each side of the equation. 2ah + -6ak + -7bh + 7bh + 21bk = 0 + 7bh Combine like terms: -7bh + 7bh = 0 2ah + -6ak + 0 + 21bk = 0 + 7bh 2ah + -6ak + 21bk = 0 + 7bh Remove the zero: 2ah + -6ak + 21bk = 7bh Add '-21bk' to each side of the equation. 2ah + -6ak + 21bk + -21bk = 7bh + -21bk Combine like terms: 21bk + -21bk = 0 2ah + -6ak + 0 = 7bh + -21bk 2ah + -6ak = 7bh + -21bk Reorder the terms: 2ah + -6ak + -7bh + 21bk = 7bh + -7bh + -21bk + 21bk Combine like terms: 7bh + -7bh = 0 2ah + -6ak + -7bh + 21bk = 0 + -21bk + 21bk 2ah + -6ak + -7bh + 21bk = -21bk + 21bk Combine like terms: -21bk + 21bk = 0 2ah + -6ak + -7bh + 21bk = 0 The solution to this equation could not be determined.
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