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Simplifying -83 = -7 + -2(5b + 3) Reorder the terms: -83 = -7 + -2(3 + 5b) -83 = -7 + (3 * -2 + 5b * -2) -83 = -7 + (-6 + -10b) Combine like terms: -7 + -6 = -13 -83 = -13 + -10b Solving -83 = -13 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. -83 + 10b = -13 + -10b + 10b Combine like terms: -10b + 10b = 0 -83 + 10b = -13 + 0 -83 + 10b = -13 Add '83' to each side of the equation. -83 + 83 + 10b = -13 + 83 Combine like terms: -83 + 83 = 0 0 + 10b = -13 + 83 10b = -13 + 83 Combine like terms: -13 + 83 = 70 10b = 70 Divide each side by '10'. b = 7 Simplifying b = 7
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