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Simplifying 4(7b + -4) + 3 = 8b + 47 Reorder the terms: 4(-4 + 7b) + 3 = 8b + 47 (-4 * 4 + 7b * 4) + 3 = 8b + 47 (-16 + 28b) + 3 = 8b + 47 Reorder the terms: -16 + 3 + 28b = 8b + 47 Combine like terms: -16 + 3 = -13 -13 + 28b = 8b + 47 Reorder the terms: -13 + 28b = 47 + 8b Solving -13 + 28b = 47 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -13 + 28b + -8b = 47 + 8b + -8b Combine like terms: 28b + -8b = 20b -13 + 20b = 47 + 8b + -8b Combine like terms: 8b + -8b = 0 -13 + 20b = 47 + 0 -13 + 20b = 47 Add '13' to each side of the equation. -13 + 13 + 20b = 47 + 13 Combine like terms: -13 + 13 = 0 0 + 20b = 47 + 13 20b = 47 + 13 Combine like terms: 47 + 13 = 60 20b = 60 Divide each side by '20'. b = 3 Simplifying b = 3
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