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Simplifying 5a + 6b + -7 + 12b + -4a = a + 18b + -7 Reorder the terms: -7 + 5a + -4a + 6b + 12b = a + 18b + -7 Combine like terms: 5a + -4a = 1a -7 + 1a + 6b + 12b = a + 18b + -7 Combine like terms: 6b + 12b = 18b -7 + 1a + 18b = a + 18b + -7 Reorder the terms: -7 + 1a + 18b = -7 + a + 18b Add '7' to each side of the equation. -7 + 1a + 7 + 18b = -7 + a + 7 + 18b Reorder the terms: -7 + 7 + 1a + 18b = -7 + a + 7 + 18b Combine like terms: -7 + 7 = 0 0 + 1a + 18b = -7 + a + 7 + 18b 1a + 18b = -7 + a + 7 + 18b Reorder the terms: 1a + 18b = -7 + 7 + a + 18b Combine like terms: -7 + 7 = 0 1a + 18b = 0 + a + 18b 1a + 18b = a + 18b Add '-18b' to each side of the equation. 1a + 18b + -18b = a + 18b + -18b Combine like terms: 18b + -18b = 0 1a + 0 = a + 18b + -18b 1a = a + 18b + -18b Combine like terms: 18b + -18b = 0 1a = a + 0 1a = a Solving 1a = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 1a + -1a = a + -1a Combine like terms: 1a + -1a = 0 0 = a + -1a Combine like terms: a + -1a = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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