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