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Simplifying -3(b + -4) + 5 = -2b + -2 Reorder the terms: -3(-4 + b) + 5 = -2b + -2 (-4 * -3 + b * -3) + 5 = -2b + -2 (12 + -3b) + 5 = -2b + -2 Reorder the terms: 12 + 5 + -3b = -2b + -2 Combine like terms: 12 + 5 = 17 17 + -3b = -2b + -2 Reorder the terms: 17 + -3b = -2 + -2b Solving 17 + -3b = -2 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 17 + -3b + 2b = -2 + -2b + 2b Combine like terms: -3b + 2b = -1b 17 + -1b = -2 + -2b + 2b Combine like terms: -2b + 2b = 0 17 + -1b = -2 + 0 17 + -1b = -2 Add '-17' to each side of the equation. 17 + -17 + -1b = -2 + -17 Combine like terms: 17 + -17 = 0 0 + -1b = -2 + -17 -1b = -2 + -17 Combine like terms: -2 + -17 = -19 -1b = -19 Divide each side by '-1'. b = 19 Simplifying b = 19
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