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