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Simplifying 13(2a + 5b) + -6(5a + 3) = 0 (2a * 13 + 5b * 13) + -6(5a + 3) = 0 (26a + 65b) + -6(5a + 3) = 0 Reorder the terms: 26a + 65b + -6(3 + 5a) = 0 26a + 65b + (3 * -6 + 5a * -6) = 0 26a + 65b + (-18 + -30a) = 0 Reorder the terms: -18 + 26a + -30a + 65b = 0 Combine like terms: 26a + -30a = -4a -18 + -4a + 65b = 0 Solving -18 + -4a + 65b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -4a + 18 + 65b = 0 + 18 Reorder the terms: -18 + 18 + -4a + 65b = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -4a + 65b = 0 + 18 -4a + 65b = 0 + 18 Combine like terms: 0 + 18 = 18 -4a + 65b = 18 Add '-65b' to each side of the equation. -4a + 65b + -65b = 18 + -65b Combine like terms: 65b + -65b = 0 -4a + 0 = 18 + -65b -4a = 18 + -65b Divide each side by '-4'. a = -4.5 + 16.25b Simplifying a = -4.5 + 16.25b
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