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Simplifying 10 + 5(b + -3) = 3(b + 1) Reorder the terms: 10 + 5(-3 + b) = 3(b + 1) 10 + (-3 * 5 + b * 5) = 3(b + 1) 10 + (-15 + 5b) = 3(b + 1) Combine like terms: 10 + -15 = -5 -5 + 5b = 3(b + 1) Reorder the terms: -5 + 5b = 3(1 + b) -5 + 5b = (1 * 3 + b * 3) -5 + 5b = (3 + 3b) Solving -5 + 5b = 3 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -5 + 5b + -3b = 3 + 3b + -3b Combine like terms: 5b + -3b = 2b -5 + 2b = 3 + 3b + -3b Combine like terms: 3b + -3b = 0 -5 + 2b = 3 + 0 -5 + 2b = 3 Add '5' to each side of the equation. -5 + 5 + 2b = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2b = 3 + 5 2b = 3 + 5 Combine like terms: 3 + 5 = 8 2b = 8 Divide each side by '2'. b = 4 Simplifying b = 4
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