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Simplifying 4(5a + 6) + 6(2 + 2a) = -2 + -3a + a + 4 Reorder the terms: 4(6 + 5a) + 6(2 + 2a) = -2 + -3a + a + 4 (6 * 4 + 5a * 4) + 6(2 + 2a) = -2 + -3a + a + 4 (24 + 20a) + 6(2 + 2a) = -2 + -3a + a + 4 24 + 20a + (2 * 6 + 2a * 6) = -2 + -3a + a + 4 24 + 20a + (12 + 12a) = -2 + -3a + a + 4 Reorder the terms: 24 + 12 + 20a + 12a = -2 + -3a + a + 4 Combine like terms: 24 + 12 = 36 36 + 20a + 12a = -2 + -3a + a + 4 Combine like terms: 20a + 12a = 32a 36 + 32a = -2 + -3a + a + 4 Reorder the terms: 36 + 32a = -2 + 4 + -3a + a Combine like terms: -2 + 4 = 2 36 + 32a = 2 + -3a + a Combine like terms: -3a + a = -2a 36 + 32a = 2 + -2a Solving 36 + 32a = 2 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 36 + 32a + 2a = 2 + -2a + 2a Combine like terms: 32a + 2a = 34a 36 + 34a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 36 + 34a = 2 + 0 36 + 34a = 2 Add '-36' to each side of the equation. 36 + -36 + 34a = 2 + -36 Combine like terms: 36 + -36 = 0 0 + 34a = 2 + -36 34a = 2 + -36 Combine like terms: 2 + -36 = -34 34a = -34 Divide each side by '34'. a = -1 Simplifying a = -1
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