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Simplifying 5a + -7 = 6(a + 1) + 12a + 2 Reorder the terms: -7 + 5a = 6(a + 1) + 12a + 2 Reorder the terms: -7 + 5a = 6(1 + a) + 12a + 2 -7 + 5a = (1 * 6 + a * 6) + 12a + 2 -7 + 5a = (6 + 6a) + 12a + 2 Reorder the terms: -7 + 5a = 6 + 2 + 6a + 12a Combine like terms: 6 + 2 = 8 -7 + 5a = 8 + 6a + 12a Combine like terms: 6a + 12a = 18a -7 + 5a = 8 + 18a Solving -7 + 5a = 8 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. -7 + 5a + -18a = 8 + 18a + -18a Combine like terms: 5a + -18a = -13a -7 + -13a = 8 + 18a + -18a Combine like terms: 18a + -18a = 0 -7 + -13a = 8 + 0 -7 + -13a = 8 Add '7' to each side of the equation. -7 + 7 + -13a = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -13a = 8 + 7 -13a = 8 + 7 Combine like terms: 8 + 7 = 15 -13a = 15 Divide each side by '-13'. a = -1.153846154 Simplifying a = -1.153846154
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