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Simplifying -32 + 7b = 5(4 + 4b) -32 + 7b = (4 * 5 + 4b * 5) -32 + 7b = (20 + 20b) Solving -32 + 7b = 20 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. -32 + 7b + -20b = 20 + 20b + -20b Combine like terms: 7b + -20b = -13b -32 + -13b = 20 + 20b + -20b Combine like terms: 20b + -20b = 0 -32 + -13b = 20 + 0 -32 + -13b = 20 Add '32' to each side of the equation. -32 + 32 + -13b = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -13b = 20 + 32 -13b = 20 + 32 Combine like terms: 20 + 32 = 52 -13b = 52 Divide each side by '-13'. b = -4 Simplifying b = -4
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