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Simplifying 4(4b + -2) + 50 = 11b + 2 Reorder the terms: 4(-2 + 4b) + 50 = 11b + 2 (-2 * 4 + 4b * 4) + 50 = 11b + 2 (-8 + 16b) + 50 = 11b + 2 Reorder the terms: -8 + 50 + 16b = 11b + 2 Combine like terms: -8 + 50 = 42 42 + 16b = 11b + 2 Reorder the terms: 42 + 16b = 2 + 11b Solving 42 + 16b = 2 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. 42 + 16b + -11b = 2 + 11b + -11b Combine like terms: 16b + -11b = 5b 42 + 5b = 2 + 11b + -11b Combine like terms: 11b + -11b = 0 42 + 5b = 2 + 0 42 + 5b = 2 Add '-42' to each side of the equation. 42 + -42 + 5b = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 5b = 2 + -42 5b = 2 + -42 Combine like terms: 2 + -42 = -40 5b = -40 Divide each side by '5'. b = -8 Simplifying b = -8
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