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Simplifying 3a + (-7) + 4b + (-6) = 0 3a + -7 + 4b + (-6) = 0 3a + -7 + 4b + -6 = 0 Reorder the terms: -7 + -6 + 3a + 4b = 0 Combine like terms: -7 + -6 = -13 -13 + 3a + 4b = 0 Solving -13 + 3a + 4b = 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 + 3a + 13 + 4b = 0 + 13 Reorder the terms: -13 + 13 + 3a + 4b = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3a + 4b = 0 + 13 3a + 4b = 0 + 13 Combine like terms: 0 + 13 = 13 3a + 4b = 13 Add '-4b' to each side of the equation. 3a + 4b + -4b = 13 + -4b Combine like terms: 4b + -4b = 0 3a + 0 = 13 + -4b 3a = 13 + -4b Divide each side by '3'. a = 4.333333333 + -1.333333333b Simplifying a = 4.333333333 + -1.333333333b
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