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Simplifying -3(4a + -5b) + -1(a + -1b) = 0 (4a * -3 + -5b * -3) + -1(a + -1b) = 0 (-12a + 15b) + -1(a + -1b) = 0 -12a + 15b + (a * -1 + -1b * -1) = 0 -12a + 15b + (-1a + 1b) = 0 Reorder the terms: -12a + -1a + 15b + 1b = 0 Combine like terms: -12a + -1a = -13a -13a + 15b + 1b = 0 Combine like terms: 15b + 1b = 16b -13a + 16b = 0 Solving -13a + 16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16b' to each side of the equation. -13a + 16b + -16b = 0 + -16b Combine like terms: 16b + -16b = 0 -13a + 0 = 0 + -16b -13a = 0 + -16b Remove the zero: -13a = -16b Divide each side by '-13'. a = 1.230769231b Simplifying a = 1.230769231b
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