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Simplifying 10(4a + 5b) + -8(7a + 2) = 0 (4a * 10 + 5b * 10) + -8(7a + 2) = 0 (40a + 50b) + -8(7a + 2) = 0 Reorder the terms: 40a + 50b + -8(2 + 7a) = 0 40a + 50b + (2 * -8 + 7a * -8) = 0 40a + 50b + (-16 + -56a) = 0 Reorder the terms: -16 + 40a + -56a + 50b = 0 Combine like terms: 40a + -56a = -16a -16 + -16a + 50b = 0 Solving -16 + -16a + 50b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -16a + 16 + 50b = 0 + 16 Reorder the terms: -16 + 16 + -16a + 50b = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -16a + 50b = 0 + 16 -16a + 50b = 0 + 16 Combine like terms: 0 + 16 = 16 -16a + 50b = 16 Add '-50b' to each side of the equation. -16a + 50b + -50b = 16 + -50b Combine like terms: 50b + -50b = 0 -16a + 0 = 16 + -50b -16a = 16 + -50b Divide each side by '-16'. a = -1 + 3.125b Simplifying a = -1 + 3.125b
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