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Simplifying -13 = 3b + -2(b + 5) Reorder the terms: -13 = 3b + -2(5 + b) -13 = 3b + (5 * -2 + b * -2) -13 = 3b + (-10 + -2b) Reorder the terms: -13 = -10 + 3b + -2b Combine like terms: 3b + -2b = 1b -13 = -10 + 1b Solving -13 = -10 + 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. -13 + -1b = -10 + 1b + -1b Combine like terms: 1b + -1b = 0 -13 + -1b = -10 + 0 -13 + -1b = -10 Add '13' to each side of the equation. -13 + 13 + -1b = -10 + 13 Combine like terms: -13 + 13 = 0 0 + -1b = -10 + 13 -1b = -10 + 13 Combine like terms: -10 + 13 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3
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