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Simplifying 15a + -3b + -7(3a + 4b) = 0 15a + -3b + (3a * -7 + 4b * -7) = 0 15a + -3b + (-21a + -28b) = 0 Reorder the terms: 15a + -21a + -3b + -28b = 0 Combine like terms: 15a + -21a = -6a -6a + -3b + -28b = 0 Combine like terms: -3b + -28b = -31b -6a + -31b = 0 Solving -6a + -31b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '31b' to each side of the equation. -6a + -31b + 31b = 0 + 31b Combine like terms: -31b + 31b = 0 -6a + 0 = 0 + 31b -6a = 0 + 31b Remove the zero: -6a = 31b Divide each side by '-6'. a = -5.166666667b Simplifying a = -5.166666667b
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