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Simplifying 6(3a + 1) + -36 = (2a + -4) Reorder the terms: 6(1 + 3a) + -36 = (2a + -4) (1 * 6 + 3a * 6) + -36 = (2a + -4) (6 + 18a) + -36 = (2a + -4) Reorder the terms: 6 + -36 + 18a = (2a + -4) Combine like terms: 6 + -36 = -30 -30 + 18a = (2a + -4) Reorder the terms: -30 + 18a = (-4 + 2a) Remove parenthesis around (-4 + 2a) -30 + 18a = -4 + 2a Solving -30 + 18a = -4 + 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. -30 + 18a + -2a = -4 + 2a + -2a Combine like terms: 18a + -2a = 16a -30 + 16a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 -30 + 16a = -4 + 0 -30 + 16a = -4 Add '30' to each side of the equation. -30 + 30 + 16a = -4 + 30 Combine like terms: -30 + 30 = 0 0 + 16a = -4 + 30 16a = -4 + 30 Combine like terms: -4 + 30 = 26 16a = 26 Divide each side by '16'. a = 1.625 Simplifying a = 1.625
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