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Simplifying -3b + -7(-4 + -6b) = -7b + -18 -3b + (-4 * -7 + -6b * -7) = -7b + -18 -3b + (28 + 42b) = -7b + -18 Reorder the terms: 28 + -3b + 42b = -7b + -18 Combine like terms: -3b + 42b = 39b 28 + 39b = -7b + -18 Reorder the terms: 28 + 39b = -18 + -7b Solving 28 + 39b = -18 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 28 + 39b + 7b = -18 + -7b + 7b Combine like terms: 39b + 7b = 46b 28 + 46b = -18 + -7b + 7b Combine like terms: -7b + 7b = 0 28 + 46b = -18 + 0 28 + 46b = -18 Add '-28' to each side of the equation. 28 + -28 + 46b = -18 + -28 Combine like terms: 28 + -28 = 0 0 + 46b = -18 + -28 46b = -18 + -28 Combine like terms: -18 + -28 = -46 46b = -46 Divide each side by '46'. b = -1 Simplifying b = -1
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