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Simplifying -2(3a + -4b + 6) + 7a + -3 = 0 Reorder the terms: -2(6 + 3a + -4b) + 7a + -3 = 0 (6 * -2 + 3a * -2 + -4b * -2) + 7a + -3 = 0 (-12 + -6a + 8b) + 7a + -3 = 0 Reorder the terms: -12 + -3 + -6a + 7a + 8b = 0 Combine like terms: -12 + -3 = -15 -15 + -6a + 7a + 8b = 0 Combine like terms: -6a + 7a = 1a -15 + 1a + 8b = 0 Solving -15 + 1a + 8b = 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 + 1a + 15 + 8b = 0 + 15 Reorder the terms: -15 + 15 + 1a + 8b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1a + 8b = 0 + 15 1a + 8b = 0 + 15 Combine like terms: 0 + 15 = 15 1a + 8b = 15 Add '-8b' to each side of the equation. 1a + 8b + -8b = 15 + -8b Combine like terms: 8b + -8b = 0 1a + 0 = 15 + -8b 1a = 15 + -8b Divide each side by '1'. a = 15 + -8b Simplifying a = 15 + -8b
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