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Simplifying -30 = 4 + 7 + (b + -3) Reorder the terms: -30 = 4 + 7 + (-3 + b) Remove parenthesis around (-3 + b) -30 = 4 + 7 + -3 + b Combine like terms: 4 + 7 = 11 -30 = 11 + -3 + b Combine like terms: 11 + -3 = 8 -30 = 8 + b Solving -30 = 8 + b 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. -30 + -1b = 8 + b + -1b Combine like terms: b + -1b = 0 -30 + -1b = 8 + 0 -30 + -1b = 8 Add '30' to each side of the equation. -30 + 30 + -1b = 8 + 30 Combine like terms: -30 + 30 = 0 0 + -1b = 8 + 30 -1b = 8 + 30 Combine like terms: 8 + 30 = 38 -1b = 38 Divide each side by '-1'. b = -38 Simplifying b = -38
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