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Simplifying -4 + 19 = 4b + -7 + -3b Combine like terms: -4 + 19 = 15 15 = 4b + -7 + -3b Reorder the terms: 15 = -7 + 4b + -3b Combine like terms: 4b + -3b = 1b 15 = -7 + 1b Solving 15 = -7 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 15 + -1b = -7 + 1b + -1b Combine like terms: 1b + -1b = 0 15 + -1b = -7 + 0 15 + -1b = -7 Add '-15' to each side of the equation. 15 + -15 + -1b = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -1b = -7 + -15 -1b = -7 + -15 Combine like terms: -7 + -15 = -22 -1b = -22 Divide each side by '-1'. b = 22 Simplifying b = 22
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