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