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Simplifying 3(b + -2) = 5(b + 5) + -15 Reorder the terms: 3(-2 + b) = 5(b + 5) + -15 (-2 * 3 + b * 3) = 5(b + 5) + -15 (-6 + 3b) = 5(b + 5) + -15 Reorder the terms: -6 + 3b = 5(5 + b) + -15 -6 + 3b = (5 * 5 + b * 5) + -15 -6 + 3b = (25 + 5b) + -15 Reorder the terms: -6 + 3b = 25 + -15 + 5b Combine like terms: 25 + -15 = 10 -6 + 3b = 10 + 5b Solving -6 + 3b = 10 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -6 + 3b + -5b = 10 + 5b + -5b Combine like terms: 3b + -5b = -2b -6 + -2b = 10 + 5b + -5b Combine like terms: 5b + -5b = 0 -6 + -2b = 10 + 0 -6 + -2b = 10 Add '6' to each side of the equation. -6 + 6 + -2b = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -2b = 10 + 6 -2b = 10 + 6 Combine like terms: 10 + 6 = 16 -2b = 16 Divide each side by '-2'. b = -8 Simplifying b = -8
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