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Simplifying 20b + 8 = 8(4b + -20) Reorder the terms: 8 + 20b = 8(4b + -20) Reorder the terms: 8 + 20b = 8(-20 + 4b) 8 + 20b = (-20 * 8 + 4b * 8) 8 + 20b = (-160 + 32b) Solving 8 + 20b = -160 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. 8 + 20b + -32b = -160 + 32b + -32b Combine like terms: 20b + -32b = -12b 8 + -12b = -160 + 32b + -32b Combine like terms: 32b + -32b = 0 8 + -12b = -160 + 0 8 + -12b = -160 Add '-8' to each side of the equation. 8 + -8 + -12b = -160 + -8 Combine like terms: 8 + -8 = 0 0 + -12b = -160 + -8 -12b = -160 + -8 Combine like terms: -160 + -8 = -168 -12b = -168 Divide each side by '-12'. b = 14 Simplifying b = 14
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