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Simplifying (4a + -7) + -1(3a + 6) = 0 Reorder the terms: (-7 + 4a) + -1(3a + 6) = 0 Remove parenthesis around (-7 + 4a) -7 + 4a + -1(3a + 6) = 0 Reorder the terms: -7 + 4a + -1(6 + 3a) = 0 -7 + 4a + (6 * -1 + 3a * -1) = 0 -7 + 4a + (-6 + -3a) = 0 Reorder the terms: -7 + -6 + 4a + -3a = 0 Combine like terms: -7 + -6 = -13 -13 + 4a + -3a = 0 Combine like terms: 4a + -3a = 1a -13 + 1a = 0 Solving -13 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1a = 0 + 13 1a = 0 + 13 Combine like terms: 0 + 13 = 13 1a = 13 Divide each side by '1'. a = 13 Simplifying a = 13
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