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Simplifying 3a + -12 = 6(a + 1) + 16a + 2 Reorder the terms: -12 + 3a = 6(a + 1) + 16a + 2 Reorder the terms: -12 + 3a = 6(1 + a) + 16a + 2 -12 + 3a = (1 * 6 + a * 6) + 16a + 2 -12 + 3a = (6 + 6a) + 16a + 2 Reorder the terms: -12 + 3a = 6 + 2 + 6a + 16a Combine like terms: 6 + 2 = 8 -12 + 3a = 8 + 6a + 16a Combine like terms: 6a + 16a = 22a -12 + 3a = 8 + 22a Solving -12 + 3a = 8 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. -12 + 3a + -22a = 8 + 22a + -22a Combine like terms: 3a + -22a = -19a -12 + -19a = 8 + 22a + -22a Combine like terms: 22a + -22a = 0 -12 + -19a = 8 + 0 -12 + -19a = 8 Add '12' to each side of the equation. -12 + 12 + -19a = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -19a = 8 + 12 -19a = 8 + 12 Combine like terms: 8 + 12 = 20 -19a = 20 Divide each side by '-19'. a = -1.052631579 Simplifying a = -1.052631579
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