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Simplifying 13 + -1b = 8 + -1(2b + 2) Reorder the terms: 13 + -1b = 8 + -1(2 + 2b) 13 + -1b = 8 + (2 * -1 + 2b * -1) 13 + -1b = 8 + (-2 + -2b) Combine like terms: 8 + -2 = 6 13 + -1b = 6 + -2b Solving 13 + -1b = 6 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 13 + -1b + 2b = 6 + -2b + 2b Combine like terms: -1b + 2b = 1b 13 + 1b = 6 + -2b + 2b Combine like terms: -2b + 2b = 0 13 + 1b = 6 + 0 13 + 1b = 6 Add '-13' to each side of the equation. 13 + -13 + 1b = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 1b = 6 + -13 1b = 6 + -13 Combine like terms: 6 + -13 = -7 1b = -7 Divide each side by '1'. b = -7 Simplifying b = -7
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