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Simplifying 5(3b + -2) = 7b + -34 Reorder the terms: 5(-2 + 3b) = 7b + -34 (-2 * 5 + 3b * 5) = 7b + -34 (-10 + 15b) = 7b + -34 Reorder the terms: -10 + 15b = -34 + 7b Solving -10 + 15b = -34 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -10 + 15b + -7b = -34 + 7b + -7b Combine like terms: 15b + -7b = 8b -10 + 8b = -34 + 7b + -7b Combine like terms: 7b + -7b = 0 -10 + 8b = -34 + 0 -10 + 8b = -34 Add '10' to each side of the equation. -10 + 10 + 8b = -34 + 10 Combine like terms: -10 + 10 = 0 0 + 8b = -34 + 10 8b = -34 + 10 Combine like terms: -34 + 10 = -24 8b = -24 Divide each side by '8'. b = -3 Simplifying b = -3
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