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Simplifying -1(3b + -15) = 4a + -4(a + 3) Reorder the terms: -1(-15 + 3b) = 4a + -4(a + 3) (-15 * -1 + 3b * -1) = 4a + -4(a + 3) (15 + -3b) = 4a + -4(a + 3) Reorder the terms: 15 + -3b = 4a + -4(3 + a) 15 + -3b = 4a + (3 * -4 + a * -4) 15 + -3b = 4a + (-12 + -4a) Reorder the terms: 15 + -3b = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 15 + -3b = -12 + 0 15 + -3b = -12 Solving 15 + -3b = -12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -3b = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -3b = -12 + -15 -3b = -12 + -15 Combine like terms: -12 + -15 = -27 -3b = -27 Divide each side by '-3'. b = 9 Simplifying b = 9
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