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Simplifying 3a + -8 = 4(a + 1) + 12a + 2 Reorder the terms: -8 + 3a = 4(a + 1) + 12a + 2 Reorder the terms: -8 + 3a = 4(1 + a) + 12a + 2 -8 + 3a = (1 * 4 + a * 4) + 12a + 2 -8 + 3a = (4 + 4a) + 12a + 2 Reorder the terms: -8 + 3a = 4 + 2 + 4a + 12a Combine like terms: 4 + 2 = 6 -8 + 3a = 6 + 4a + 12a Combine like terms: 4a + 12a = 16a -8 + 3a = 6 + 16a Solving -8 + 3a = 6 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -8 + 3a + -16a = 6 + 16a + -16a Combine like terms: 3a + -16a = -13a -8 + -13a = 6 + 16a + -16a Combine like terms: 16a + -16a = 0 -8 + -13a = 6 + 0 -8 + -13a = 6 Add '8' to each side of the equation. -8 + 8 + -13a = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -13a = 6 + 8 -13a = 6 + 8 Combine like terms: 6 + 8 = 14 -13a = 14 Divide each side by '-13'. a = -1.076923077 Simplifying a = -1.076923077
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