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Simplifying -1(1 + 2b) + 7 = 2(1 + 2b) + 4 (1 * -1 + 2b * -1) + 7 = 2(1 + 2b) + 4 (-1 + -2b) + 7 = 2(1 + 2b) + 4 Reorder the terms: -1 + 7 + -2b = 2(1 + 2b) + 4 Combine like terms: -1 + 7 = 6 6 + -2b = 2(1 + 2b) + 4 6 + -2b = (1 * 2 + 2b * 2) + 4 6 + -2b = (2 + 4b) + 4 Reorder the terms: 6 + -2b = 2 + 4 + 4b Combine like terms: 2 + 4 = 6 6 + -2b = 6 + 4b Add '-6' to each side of the equation. 6 + -6 + -2b = 6 + -6 + 4b Combine like terms: 6 + -6 = 0 0 + -2b = 6 + -6 + 4b -2b = 6 + -6 + 4b Combine like terms: 6 + -6 = 0 -2b = 0 + 4b -2b = 4b Solving -2b = 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. -2b + -4b = 4b + -4b Combine like terms: -2b + -4b = -6b -6b = 4b + -4b Combine like terms: 4b + -4b = 0 -6b = 0 Divide each side by '-6'. b = 0 Simplifying b = 0
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