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Simplifying -1(7b + 3) = -1(1 + 6b) Reorder the terms: -1(3 + 7b) = -1(1 + 6b) (3 * -1 + 7b * -1) = -1(1 + 6b) (-3 + -7b) = -1(1 + 6b) -3 + -7b = (1 * -1 + 6b * -1) -3 + -7b = (-1 + -6b) Solving -3 + -7b = -1 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -3 + -7b + 6b = -1 + -6b + 6b Combine like terms: -7b + 6b = -1b -3 + -1b = -1 + -6b + 6b Combine like terms: -6b + 6b = 0 -3 + -1b = -1 + 0 -3 + -1b = -1 Add '3' to each side of the equation. -3 + 3 + -1b = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -1b = -1 + 3 -1b = -1 + 3 Combine like terms: -1 + 3 = 2 -1b = 2 Divide each side by '-1'. b = -2 Simplifying b = -2
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