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Simplifying 2a + -6 = 2(a + 1) + 8a + 3 Reorder the terms: -6 + 2a = 2(a + 1) + 8a + 3 Reorder the terms: -6 + 2a = 2(1 + a) + 8a + 3 -6 + 2a = (1 * 2 + a * 2) + 8a + 3 -6 + 2a = (2 + 2a) + 8a + 3 Reorder the terms: -6 + 2a = 2 + 3 + 2a + 8a Combine like terms: 2 + 3 = 5 -6 + 2a = 5 + 2a + 8a Combine like terms: 2a + 8a = 10a -6 + 2a = 5 + 10a Solving -6 + 2a = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -6 + 2a + -10a = 5 + 10a + -10a Combine like terms: 2a + -10a = -8a -6 + -8a = 5 + 10a + -10a Combine like terms: 10a + -10a = 0 -6 + -8a = 5 + 0 -6 + -8a = 5 Add '6' to each side of the equation. -6 + 6 + -8a = 5 + 6 Combine like terms: -6 + 6 = 0 0 + -8a = 5 + 6 -8a = 5 + 6 Combine like terms: 5 + 6 = 11 -8a = 11 Divide each side by '-8'. a = -1.375 Simplifying a = -1.375
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