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Simplifying 3a + -8(2a + 5b) + -1(a + -7b) = 0 3a + (2a * -8 + 5b * -8) + -1(a + -7b) = 0 3a + (-16a + -40b) + -1(a + -7b) = 0 3a + -16a + -40b + (a * -1 + -7b * -1) = 0 3a + -16a + -40b + (-1a + 7b) = 0 Reorder the terms: 3a + -16a + -1a + -40b + 7b = 0 Combine like terms: 3a + -16a = -13a -13a + -1a + -40b + 7b = 0 Combine like terms: -13a + -1a = -14a -14a + -40b + 7b = 0 Combine like terms: -40b + 7b = -33b -14a + -33b = 0 Solving -14a + -33b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '33b' to each side of the equation. -14a + -33b + 33b = 0 + 33b Combine like terms: -33b + 33b = 0 -14a + 0 = 0 + 33b -14a = 0 + 33b Remove the zero: -14a = 33b Divide each side by '-14'. a = -2.357142857b Simplifying a = -2.357142857b
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