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Simplifying -6 + 5b = -3b + -1(1 + -7b) -6 + 5b = -3b + (1 * -1 + -7b * -1) -6 + 5b = -3b + (-1 + 7b) Reorder the terms: -6 + 5b = -1 + -3b + 7b Combine like terms: -3b + 7b = 4b -6 + 5b = -1 + 4b Solving -6 + 5b = -1 + 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. -6 + 5b + -4b = -1 + 4b + -4b Combine like terms: 5b + -4b = 1b -6 + 1b = -1 + 4b + -4b Combine like terms: 4b + -4b = 0 -6 + 1b = -1 + 0 -6 + 1b = -1 Add '6' to each side of the equation. -6 + 6 + 1b = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 1b = -1 + 6 1b = -1 + 6 Combine like terms: -1 + 6 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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