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Simplifying 6(3a + 1) + -30 = 8(2a + -4) Reorder the terms: 6(1 + 3a) + -30 = 8(2a + -4) (1 * 6 + 3a * 6) + -30 = 8(2a + -4) (6 + 18a) + -30 = 8(2a + -4) Reorder the terms: 6 + -30 + 18a = 8(2a + -4) Combine like terms: 6 + -30 = -24 -24 + 18a = 8(2a + -4) Reorder the terms: -24 + 18a = 8(-4 + 2a) -24 + 18a = (-4 * 8 + 2a * 8) -24 + 18a = (-32 + 16a) Solving -24 + 18a = -32 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -24 + 18a + -16a = -32 + 16a + -16a Combine like terms: 18a + -16a = 2a -24 + 2a = -32 + 16a + -16a Combine like terms: 16a + -16a = 0 -24 + 2a = -32 + 0 -24 + 2a = -32 Add '24' to each side of the equation. -24 + 24 + 2a = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 2a = -32 + 24 2a = -32 + 24 Combine like terms: -32 + 24 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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