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Simplifying 6(2x + -3) + 3(a + 1) = 0 Reorder the terms: 6(-3 + 2x) + 3(a + 1) = 0 (-3 * 6 + 2x * 6) + 3(a + 1) = 0 (-18 + 12x) + 3(a + 1) = 0 Reorder the terms: -18 + 12x + 3(1 + a) = 0 -18 + 12x + (1 * 3 + a * 3) = 0 -18 + 12x + (3 + 3a) = 0 Reorder the terms: -18 + 3 + 3a + 12x = 0 Combine like terms: -18 + 3 = -15 -15 + 3a + 12x = 0 Solving -15 + 3a + 12x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 3a + 15 + 12x = 0 + 15 Reorder the terms: -15 + 15 + 3a + 12x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3a + 12x = 0 + 15 3a + 12x = 0 + 15 Combine like terms: 0 + 15 = 15 3a + 12x = 15 Add '-12x' to each side of the equation. 3a + 12x + -12x = 15 + -12x Combine like terms: 12x + -12x = 0 3a + 0 = 15 + -12x 3a = 15 + -12x Divide each side by '3'. a = 5 + -4x Simplifying a = 5 + -4x
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