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Simplifying 19 = 3(-4b + -3) + 5b Reorder the terms: 19 = 3(-3 + -4b) + 5b 19 = (-3 * 3 + -4b * 3) + 5b 19 = (-9 + -12b) + 5b Combine like terms: -12b + 5b = -7b 19 = -9 + -7b Solving 19 = -9 + -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. 19 + 7b = -9 + -7b + 7b Combine like terms: -7b + 7b = 0 19 + 7b = -9 + 0 19 + 7b = -9 Add '-19' to each side of the equation. 19 + -19 + 7b = -9 + -19 Combine like terms: 19 + -19 = 0 0 + 7b = -9 + -19 7b = -9 + -19 Combine like terms: -9 + -19 = -28 7b = -28 Divide each side by '7'. b = -4 Simplifying b = -4
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