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Simplifying 13 + -3b = 5(7b + -5) Reorder the terms: 13 + -3b = 5(-5 + 7b) 13 + -3b = (-5 * 5 + 7b * 5) 13 + -3b = (-25 + 35b) Solving 13 + -3b = -25 + 35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35b' to each side of the equation. 13 + -3b + -35b = -25 + 35b + -35b Combine like terms: -3b + -35b = -38b 13 + -38b = -25 + 35b + -35b Combine like terms: 35b + -35b = 0 13 + -38b = -25 + 0 13 + -38b = -25 Add '-13' to each side of the equation. 13 + -13 + -38b = -25 + -13 Combine like terms: 13 + -13 = 0 0 + -38b = -25 + -13 -38b = -25 + -13 Combine like terms: -25 + -13 = -38 -38b = -38 Divide each side by '-38'. b = 1 Simplifying b = 1
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