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Simplifying 3[5 + 6] + -4b = 2b + -16 + 5[a + 1] Combine like terms: 5 + 6 = 11 3[11] + -4b = 2b + -16 + 5[a + 1] Multiply 3 * 11 33 + -4b = 2b + -16 + 5[a + 1] Reorder the terms: 33 + -4b = 2b + -16 + 5[1 + a] 33 + -4b = 2b + -16 + [1 * 5 + a * 5] 33 + -4b = 2b + -16 + [5 + 5a] Reorder the terms: 33 + -4b = -16 + 5 + 5a + 2b Combine like terms: -16 + 5 = -11 33 + -4b = -11 + 5a + 2b Solving 33 + -4b = -11 + 5a + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 33 + -4b + -2b = -11 + 5a + 2b + -2b Combine like terms: -4b + -2b = -6b 33 + -6b = -11 + 5a + 2b + -2b Combine like terms: 2b + -2b = 0 33 + -6b = -11 + 5a + 0 33 + -6b = -11 + 5a Add '-33' to each side of the equation. 33 + -33 + -6b = -11 + -33 + 5a Combine like terms: 33 + -33 = 0 0 + -6b = -11 + -33 + 5a -6b = -11 + -33 + 5a Combine like terms: -11 + -33 = -44 -6b = -44 + 5a Divide each side by '-6'. b = 7.333333333 + -0.8333333333a Simplifying b = 7.333333333 + -0.8333333333a
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