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Simplifying 6(3a + 1) + -30 = 2(2a + -4) Reorder the terms: 6(1 + 3a) + -30 = 2(2a + -4) (1 * 6 + 3a * 6) + -30 = 2(2a + -4) (6 + 18a) + -30 = 2(2a + -4) Reorder the terms: 6 + -30 + 18a = 2(2a + -4) Combine like terms: 6 + -30 = -24 -24 + 18a = 2(2a + -4) Reorder the terms: -24 + 18a = 2(-4 + 2a) -24 + 18a = (-4 * 2 + 2a * 2) -24 + 18a = (-8 + 4a) Solving -24 + 18a = -8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -24 + 18a + -4a = -8 + 4a + -4a Combine like terms: 18a + -4a = 14a -24 + 14a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 -24 + 14a = -8 + 0 -24 + 14a = -8 Add '24' to each side of the equation. -24 + 24 + 14a = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 14a = -8 + 24 14a = -8 + 24 Combine like terms: -8 + 24 = 16 14a = 16 Divide each side by '14'. a = 1.142857143 Simplifying a = 1.142857143
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