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Simplifying 5a + -2 = 6(a + 1) + 12a + 6 Reorder the terms: -2 + 5a = 6(a + 1) + 12a + 6 Reorder the terms: -2 + 5a = 6(1 + a) + 12a + 6 -2 + 5a = (1 * 6 + a * 6) + 12a + 6 -2 + 5a = (6 + 6a) + 12a + 6 Reorder the terms: -2 + 5a = 6 + 6 + 6a + 12a Combine like terms: 6 + 6 = 12 -2 + 5a = 12 + 6a + 12a Combine like terms: 6a + 12a = 18a -2 + 5a = 12 + 18a Solving -2 + 5a = 12 + 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. -2 + 5a + -18a = 12 + 18a + -18a Combine like terms: 5a + -18a = -13a -2 + -13a = 12 + 18a + -18a Combine like terms: 18a + -18a = 0 -2 + -13a = 12 + 0 -2 + -13a = 12 Add '2' to each side of the equation. -2 + 2 + -13a = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -13a = 12 + 2 -13a = 12 + 2 Combine like terms: 12 + 2 = 14 -13a = 14 Divide each side by '-13'. a = -1.076923077 Simplifying a = -1.076923077
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