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Simplifying 50 = -2(24 + -1b) + 4(b + -4) 50 = (24 * -2 + -1b * -2) + 4(b + -4) 50 = (-48 + 2b) + 4(b + -4) Reorder the terms: 50 = -48 + 2b + 4(-4 + b) 50 = -48 + 2b + (-4 * 4 + b * 4) 50 = -48 + 2b + (-16 + 4b) Reorder the terms: 50 = -48 + -16 + 2b + 4b Combine like terms: -48 + -16 = -64 50 = -64 + 2b + 4b Combine like terms: 2b + 4b = 6b 50 = -64 + 6b Solving 50 = -64 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 50 + -6b = -64 + 6b + -6b Combine like terms: 6b + -6b = 0 50 + -6b = -64 + 0 50 + -6b = -64 Add '-50' to each side of the equation. 50 + -50 + -6b = -64 + -50 Combine like terms: 50 + -50 = 0 0 + -6b = -64 + -50 -6b = -64 + -50 Combine like terms: -64 + -50 = -114 -6b = -114 Divide each side by '-6'. b = 19 Simplifying b = 19
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