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Simplifying -2(3a + 4) + -5(2 + -1a) = 3(2a + -1) + 6 Reorder the terms: -2(4 + 3a) + -5(2 + -1a) = 3(2a + -1) + 6 (4 * -2 + 3a * -2) + -5(2 + -1a) = 3(2a + -1) + 6 (-8 + -6a) + -5(2 + -1a) = 3(2a + -1) + 6 -8 + -6a + (2 * -5 + -1a * -5) = 3(2a + -1) + 6 -8 + -6a + (-10 + 5a) = 3(2a + -1) + 6 Reorder the terms: -8 + -10 + -6a + 5a = 3(2a + -1) + 6 Combine like terms: -8 + -10 = -18 -18 + -6a + 5a = 3(2a + -1) + 6 Combine like terms: -6a + 5a = -1a -18 + -1a = 3(2a + -1) + 6 Reorder the terms: -18 + -1a = 3(-1 + 2a) + 6 -18 + -1a = (-1 * 3 + 2a * 3) + 6 -18 + -1a = (-3 + 6a) + 6 Reorder the terms: -18 + -1a = -3 + 6 + 6a Combine like terms: -3 + 6 = 3 -18 + -1a = 3 + 6a Solving -18 + -1a = 3 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -18 + -1a + -6a = 3 + 6a + -6a Combine like terms: -1a + -6a = -7a -18 + -7a = 3 + 6a + -6a Combine like terms: 6a + -6a = 0 -18 + -7a = 3 + 0 -18 + -7a = 3 Add '18' to each side of the equation. -18 + 18 + -7a = 3 + 18 Combine like terms: -18 + 18 = 0 0 + -7a = 3 + 18 -7a = 3 + 18 Combine like terms: 3 + 18 = 21 -7a = 21 Divide each side by '-7'. a = -3 Simplifying a = -3
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