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Simplifying 2a + -3(a + 3) = 9 + -3(4a + 10) Reorder the terms: 2a + -3(3 + a) = 9 + -3(4a + 10) 2a + (3 * -3 + a * -3) = 9 + -3(4a + 10) 2a + (-9 + -3a) = 9 + -3(4a + 10) Reorder the terms: -9 + 2a + -3a = 9 + -3(4a + 10) Combine like terms: 2a + -3a = -1a -9 + -1a = 9 + -3(4a + 10) Reorder the terms: -9 + -1a = 9 + -3(10 + 4a) -9 + -1a = 9 + (10 * -3 + 4a * -3) -9 + -1a = 9 + (-30 + -12a) Combine like terms: 9 + -30 = -21 -9 + -1a = -21 + -12a Solving -9 + -1a = -21 + -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 + -1a + 12a = -21 + -12a + 12a Combine like terms: -1a + 12a = 11a -9 + 11a = -21 + -12a + 12a Combine like terms: -12a + 12a = 0 -9 + 11a = -21 + 0 -9 + 11a = -21 Add '9' to each side of the equation. -9 + 9 + 11a = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 11a = -21 + 9 11a = -21 + 9 Combine like terms: -21 + 9 = -12 11a = -12 Divide each side by '11'. a = -1.090909091 Simplifying a = -1.090909091
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