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Simplifying 13(3a + 2b) + -7(8a + 3) = 0 (3a * 13 + 2b * 13) + -7(8a + 3) = 0 (39a + 26b) + -7(8a + 3) = 0 Reorder the terms: 39a + 26b + -7(3 + 8a) = 0 39a + 26b + (3 * -7 + 8a * -7) = 0 39a + 26b + (-21 + -56a) = 0 Reorder the terms: -21 + 39a + -56a + 26b = 0 Combine like terms: 39a + -56a = -17a -21 + -17a + 26b = 0 Solving -21 + -17a + 26b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -17a + 21 + 26b = 0 + 21 Reorder the terms: -21 + 21 + -17a + 26b = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -17a + 26b = 0 + 21 -17a + 26b = 0 + 21 Combine like terms: 0 + 21 = 21 -17a + 26b = 21 Add '-26b' to each side of the equation. -17a + 26b + -26b = 21 + -26b Combine like terms: 26b + -26b = 0 -17a + 0 = 21 + -26b -17a = 21 + -26b Divide each side by '-17'. a = -1.235294118 + 1.529411765b Simplifying a = -1.235294118 + 1.529411765b
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