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Simplifying -13 + -7b = 5(-3b + 7) Reorder the terms: -13 + -7b = 5(7 + -3b) -13 + -7b = (7 * 5 + -3b * 5) -13 + -7b = (35 + -15b) Solving -13 + -7b = 35 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -13 + -7b + 15b = 35 + -15b + 15b Combine like terms: -7b + 15b = 8b -13 + 8b = 35 + -15b + 15b Combine like terms: -15b + 15b = 0 -13 + 8b = 35 + 0 -13 + 8b = 35 Add '13' to each side of the equation. -13 + 13 + 8b = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 8b = 35 + 13 8b = 35 + 13 Combine like terms: 35 + 13 = 48 8b = 48 Divide each side by '8'. b = 6 Simplifying b = 6
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