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Simplifying (2b + 17) + -1(4b + -5) = 3b + -7 Reorder the terms: (17 + 2b) + -1(4b + -5) = 3b + -7 Remove parenthesis around (17 + 2b) 17 + 2b + -1(4b + -5) = 3b + -7 Reorder the terms: 17 + 2b + -1(-5 + 4b) = 3b + -7 17 + 2b + (-5 * -1 + 4b * -1) = 3b + -7 17 + 2b + (5 + -4b) = 3b + -7 Reorder the terms: 17 + 5 + 2b + -4b = 3b + -7 Combine like terms: 17 + 5 = 22 22 + 2b + -4b = 3b + -7 Combine like terms: 2b + -4b = -2b 22 + -2b = 3b + -7 Reorder the terms: 22 + -2b = -7 + 3b Solving 22 + -2b = -7 + 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. 22 + -2b + -3b = -7 + 3b + -3b Combine like terms: -2b + -3b = -5b 22 + -5b = -7 + 3b + -3b Combine like terms: 3b + -3b = 0 22 + -5b = -7 + 0 22 + -5b = -7 Add '-22' to each side of the equation. 22 + -22 + -5b = -7 + -22 Combine like terms: 22 + -22 = 0 0 + -5b = -7 + -22 -5b = -7 + -22 Combine like terms: -7 + -22 = -29 -5b = -29 Divide each side by '-5'. b = 5.8 Simplifying b = 5.8
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