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Simplifying -5(1 + -1b) + 3 = 8b + 10 (1 * -5 + -1b * -5) + 3 = 8b + 10 (-5 + 5b) + 3 = 8b + 10 Reorder the terms: -5 + 3 + 5b = 8b + 10 Combine like terms: -5 + 3 = -2 -2 + 5b = 8b + 10 Reorder the terms: -2 + 5b = 10 + 8b Solving -2 + 5b = 10 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -2 + 5b + -8b = 10 + 8b + -8b Combine like terms: 5b + -8b = -3b -2 + -3b = 10 + 8b + -8b Combine like terms: 8b + -8b = 0 -2 + -3b = 10 + 0 -2 + -3b = 10 Add '2' to each side of the equation. -2 + 2 + -3b = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = 10 + 2 -3b = 10 + 2 Combine like terms: 10 + 2 = 12 -3b = 12 Divide each side by '-3'. b = -4 Simplifying b = -4
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