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Simplifying -3 + 15 = 3b + -7 + -2b Combine like terms: -3 + 15 = 12 12 = 3b + -7 + -2b Reorder the terms: 12 = -7 + 3b + -2b Combine like terms: 3b + -2b = 1b 12 = -7 + 1b Solving 12 = -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. 12 + -1b = -7 + 1b + -1b Combine like terms: 1b + -1b = 0 12 + -1b = -7 + 0 12 + -1b = -7 Add '-12' to each side of the equation. 12 + -12 + -1b = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -1b = -7 + -12 -1b = -7 + -12 Combine like terms: -7 + -12 = -19 -1b = -19 Divide each side by '-1'. b = 19 Simplifying b = 19
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