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Simplifying -2(2 + -3b) + -2 = 5(1 + -1b) (2 * -2 + -3b * -2) + -2 = 5(1 + -1b) (-4 + 6b) + -2 = 5(1 + -1b) Reorder the terms: -4 + -2 + 6b = 5(1 + -1b) Combine like terms: -4 + -2 = -6 -6 + 6b = 5(1 + -1b) -6 + 6b = (1 * 5 + -1b * 5) -6 + 6b = (5 + -5b) Solving -6 + 6b = 5 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. -6 + 6b + 5b = 5 + -5b + 5b Combine like terms: 6b + 5b = 11b -6 + 11b = 5 + -5b + 5b Combine like terms: -5b + 5b = 0 -6 + 11b = 5 + 0 -6 + 11b = 5 Add '6' to each side of the equation. -6 + 6 + 11b = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 11b = 5 + 6 11b = 5 + 6 Combine like terms: 5 + 6 = 11 11b = 11 Divide each side by '11'. b = 1 Simplifying b = 1
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