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Simplifying 6(6a + 3) = -7(-4 + -5a) + 2a Reorder the terms: 6(3 + 6a) = -7(-4 + -5a) + 2a (3 * 6 + 6a * 6) = -7(-4 + -5a) + 2a (18 + 36a) = -7(-4 + -5a) + 2a 18 + 36a = (-4 * -7 + -5a * -7) + 2a 18 + 36a = (28 + 35a) + 2a Combine like terms: 35a + 2a = 37a 18 + 36a = 28 + 37a Solving 18 + 36a = 28 + 37a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-37a' to each side of the equation. 18 + 36a + -37a = 28 + 37a + -37a Combine like terms: 36a + -37a = -1a 18 + -1a = 28 + 37a + -37a Combine like terms: 37a + -37a = 0 18 + -1a = 28 + 0 18 + -1a = 28 Add '-18' to each side of the equation. 18 + -18 + -1a = 28 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = 28 + -18 -1a = 28 + -18 Combine like terms: 28 + -18 = 10 -1a = 10 Divide each side by '-1'. a = -10 Simplifying a = -10
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