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Simplifying 13(3a + 2b) + -7(6a + 4) = 0 (3a * 13 + 2b * 13) + -7(6a + 4) = 0 (39a + 26b) + -7(6a + 4) = 0 Reorder the terms: 39a + 26b + -7(4 + 6a) = 0 39a + 26b + (4 * -7 + 6a * -7) = 0 39a + 26b + (-28 + -42a) = 0 Reorder the terms: -28 + 39a + -42a + 26b = 0 Combine like terms: 39a + -42a = -3a -28 + -3a + 26b = 0 Solving -28 + -3a + 26b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -3a + 28 + 26b = 0 + 28 Reorder the terms: -28 + 28 + -3a + 26b = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -3a + 26b = 0 + 28 -3a + 26b = 0 + 28 Combine like terms: 0 + 28 = 28 -3a + 26b = 28 Add '-26b' to each side of the equation. -3a + 26b + -26b = 28 + -26b Combine like terms: 26b + -26b = 0 -3a + 0 = 28 + -26b -3a = 28 + -26b Divide each side by '-3'. a = -9.333333333 + 8.666666667b Simplifying a = -9.333333333 + 8.666666667b
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