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Simplifying -6(4a + 3) = 37 + -2a Reorder the terms: -6(3 + 4a) = 37 + -2a (3 * -6 + 4a * -6) = 37 + -2a (-18 + -24a) = 37 + -2a Solving -18 + -24a = 37 + -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. -18 + -24a + 2a = 37 + -2a + 2a Combine like terms: -24a + 2a = -22a -18 + -22a = 37 + -2a + 2a Combine like terms: -2a + 2a = 0 -18 + -22a = 37 + 0 -18 + -22a = 37 Add '18' to each side of the equation. -18 + 18 + -22a = 37 + 18 Combine like terms: -18 + 18 = 0 0 + -22a = 37 + 18 -22a = 37 + 18 Combine like terms: 37 + 18 = 55 -22a = 55 Divide each side by '-22'. a = -2.5 Simplifying a = -2.5
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