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Simplifying 4(x + -9) + 3b = 5x + a Reorder the terms: 4(-9 + x) + 3b = 5x + a (-9 * 4 + x * 4) + 3b = 5x + a (-36 + 4x) + 3b = 5x + a Reorder the terms: -36 + 3b + 4x = 5x + a Reorder the terms: -36 + 3b + 4x = a + 5x Solving -36 + 3b + 4x = a + 5x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 3b + 36 + 4x = a + 36 + 5x Reorder the terms: -36 + 36 + 3b + 4x = a + 36 + 5x Combine like terms: -36 + 36 = 0 0 + 3b + 4x = a + 36 + 5x 3b + 4x = a + 36 + 5x Reorder the terms: 3b + 4x = 36 + a + 5x Add '-4x' to each side of the equation. 3b + 4x + -4x = 36 + a + 5x + -4x Combine like terms: 4x + -4x = 0 3b + 0 = 36 + a + 5x + -4x 3b = 36 + a + 5x + -4x Combine like terms: 5x + -4x = 1x 3b = 36 + a + 1x Divide each side by '3'. b = 12 + 0.3333333333a + 0.3333333333x Simplifying b = 12 + 0.3333333333a + 0.3333333333x
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