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Simplifying 2a + -5 = 3(a + 1) + 9a + 3 Reorder the terms: -5 + 2a = 3(a + 1) + 9a + 3 Reorder the terms: -5 + 2a = 3(1 + a) + 9a + 3 -5 + 2a = (1 * 3 + a * 3) + 9a + 3 -5 + 2a = (3 + 3a) + 9a + 3 Reorder the terms: -5 + 2a = 3 + 3 + 3a + 9a Combine like terms: 3 + 3 = 6 -5 + 2a = 6 + 3a + 9a Combine like terms: 3a + 9a = 12a -5 + 2a = 6 + 12a Solving -5 + 2a = 6 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -5 + 2a + -12a = 6 + 12a + -12a Combine like terms: 2a + -12a = -10a -5 + -10a = 6 + 12a + -12a Combine like terms: 12a + -12a = 0 -5 + -10a = 6 + 0 -5 + -10a = 6 Add '5' to each side of the equation. -5 + 5 + -10a = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -10a = 6 + 5 -10a = 6 + 5 Combine like terms: 6 + 5 = 11 -10a = 11 Divide each side by '-10'. a = -1.1 Simplifying a = -1.1
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