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Simplifying 4(2b + -1) = 4b + 3(b + 2) + -7 Reorder the terms: 4(-1 + 2b) = 4b + 3(b + 2) + -7 (-1 * 4 + 2b * 4) = 4b + 3(b + 2) + -7 (-4 + 8b) = 4b + 3(b + 2) + -7 Reorder the terms: -4 + 8b = 4b + 3(2 + b) + -7 -4 + 8b = 4b + (2 * 3 + b * 3) + -7 -4 + 8b = 4b + (6 + 3b) + -7 Reorder the terms: -4 + 8b = 6 + -7 + 4b + 3b Combine like terms: 6 + -7 = -1 -4 + 8b = -1 + 4b + 3b Combine like terms: 4b + 3b = 7b -4 + 8b = -1 + 7b Solving -4 + 8b = -1 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -4 + 8b + -7b = -1 + 7b + -7b Combine like terms: 8b + -7b = 1b -4 + 1b = -1 + 7b + -7b Combine like terms: 7b + -7b = 0 -4 + 1b = -1 + 0 -4 + 1b = -1 Add '4' to each side of the equation. -4 + 4 + 1b = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 1b = -1 + 4 1b = -1 + 4 Combine like terms: -1 + 4 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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