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Simplifying 5(2b + -20) = -13b + 16b + 19 Reorder the terms: 5(-20 + 2b) = -13b + 16b + 19 (-20 * 5 + 2b * 5) = -13b + 16b + 19 (-100 + 10b) = -13b + 16b + 19 Reorder the terms: -100 + 10b = 19 + -13b + 16b Combine like terms: -13b + 16b = 3b -100 + 10b = 19 + 3b Solving -100 + 10b = 19 + 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. -100 + 10b + -3b = 19 + 3b + -3b Combine like terms: 10b + -3b = 7b -100 + 7b = 19 + 3b + -3b Combine like terms: 3b + -3b = 0 -100 + 7b = 19 + 0 -100 + 7b = 19 Add '100' to each side of the equation. -100 + 100 + 7b = 19 + 100 Combine like terms: -100 + 100 = 0 0 + 7b = 19 + 100 7b = 19 + 100 Combine like terms: 19 + 100 = 119 7b = 119 Divide each side by '7'. b = 17 Simplifying b = 17
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