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Simplifying 2a + -9 = 4(3a + 1) + -2 Reorder the terms: -9 + 2a = 4(3a + 1) + -2 Reorder the terms: -9 + 2a = 4(1 + 3a) + -2 -9 + 2a = (1 * 4 + 3a * 4) + -2 -9 + 2a = (4 + 12a) + -2 Reorder the terms: -9 + 2a = 4 + -2 + 12a Combine like terms: 4 + -2 = 2 -9 + 2a = 2 + 12a Solving -9 + 2a = 2 + 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. -9 + 2a + -12a = 2 + 12a + -12a Combine like terms: 2a + -12a = -10a -9 + -10a = 2 + 12a + -12a Combine like terms: 12a + -12a = 0 -9 + -10a = 2 + 0 -9 + -10a = 2 Add '9' to each side of the equation. -9 + 9 + -10a = 2 + 9 Combine like terms: -9 + 9 = 0 0 + -10a = 2 + 9 -10a = 2 + 9 Combine like terms: 2 + 9 = 11 -10a = 11 Divide each side by '-10'. a = -1.1 Simplifying a = -1.1
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