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Simplifying 20 + 4b = 6(2b + -5) Reorder the terms: 20 + 4b = 6(-5 + 2b) 20 + 4b = (-5 * 6 + 2b * 6) 20 + 4b = (-30 + 12b) Solving 20 + 4b = -30 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 20 + 4b + -12b = -30 + 12b + -12b Combine like terms: 4b + -12b = -8b 20 + -8b = -30 + 12b + -12b Combine like terms: 12b + -12b = 0 20 + -8b = -30 + 0 20 + -8b = -30 Add '-20' to each side of the equation. 20 + -20 + -8b = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -8b = -30 + -20 -8b = -30 + -20 Combine like terms: -30 + -20 = -50 -8b = -50 Divide each side by '-8'. b = 6.25 Simplifying b = 6.25
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