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Simplifying -1b + -9 = -4(1 + b) + 1 Reorder the terms: -9 + -1b = -4(1 + b) + 1 -9 + -1b = (1 * -4 + b * -4) + 1 -9 + -1b = (-4 + -4b) + 1 Reorder the terms: -9 + -1b = -4 + 1 + -4b Combine like terms: -4 + 1 = -3 -9 + -1b = -3 + -4b Solving -9 + -1b = -3 + -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. -9 + -1b + 4b = -3 + -4b + 4b Combine like terms: -1b + 4b = 3b -9 + 3b = -3 + -4b + 4b Combine like terms: -4b + 4b = 0 -9 + 3b = -3 + 0 -9 + 3b = -3 Add '9' to each side of the equation. -9 + 9 + 3b = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 3b = -3 + 9 3b = -3 + 9 Combine like terms: -3 + 9 = 6 3b = 6 Divide each side by '3'. b = 2 Simplifying b = 2
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