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Simplifying b = 6(2a + -5) + -1(-3a + 7) Reorder the terms: b = 6(-5 + 2a) + -1(-3a + 7) b = (-5 * 6 + 2a * 6) + -1(-3a + 7) b = (-30 + 12a) + -1(-3a + 7) Reorder the terms: b = -30 + 12a + -1(7 + -3a) b = -30 + 12a + (7 * -1 + -3a * -1) b = -30 + 12a + (-7 + 3a) Reorder the terms: b = -30 + -7 + 12a + 3a Combine like terms: -30 + -7 = -37 b = -37 + 12a + 3a Combine like terms: 12a + 3a = 15a b = -37 + 15a Solving b = -37 + 15a Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Simplifying b = -37 + 15a
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