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Simplifying -5b + -3(-7 + -7b) = -3b + -2 -5b + (-7 * -3 + -7b * -3) = -3b + -2 -5b + (21 + 21b) = -3b + -2 Reorder the terms: 21 + -5b + 21b = -3b + -2 Combine like terms: -5b + 21b = 16b 21 + 16b = -3b + -2 Reorder the terms: 21 + 16b = -2 + -3b Solving 21 + 16b = -2 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 21 + 16b + 3b = -2 + -3b + 3b Combine like terms: 16b + 3b = 19b 21 + 19b = -2 + -3b + 3b Combine like terms: -3b + 3b = 0 21 + 19b = -2 + 0 21 + 19b = -2 Add '-21' to each side of the equation. 21 + -21 + 19b = -2 + -21 Combine like terms: 21 + -21 = 0 0 + 19b = -2 + -21 19b = -2 + -21 Combine like terms: -2 + -21 = -23 19b = -23 Divide each side by '19'. b = -1.210526316 Simplifying b = -1.210526316
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