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Simplifying -5(b + 2) + 3b = -2(1 + 5b) + 6 Reorder the terms: -5(2 + b) + 3b = -2(1 + 5b) + 6 (2 * -5 + b * -5) + 3b = -2(1 + 5b) + 6 (-10 + -5b) + 3b = -2(1 + 5b) + 6 Combine like terms: -5b + 3b = -2b -10 + -2b = -2(1 + 5b) + 6 -10 + -2b = (1 * -2 + 5b * -2) + 6 -10 + -2b = (-2 + -10b) + 6 Reorder the terms: -10 + -2b = -2 + 6 + -10b Combine like terms: -2 + 6 = 4 -10 + -2b = 4 + -10b Solving -10 + -2b = 4 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. -10 + -2b + 10b = 4 + -10b + 10b Combine like terms: -2b + 10b = 8b -10 + 8b = 4 + -10b + 10b Combine like terms: -10b + 10b = 0 -10 + 8b = 4 + 0 -10 + 8b = 4 Add '10' to each side of the equation. -10 + 10 + 8b = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 8b = 4 + 10 8b = 4 + 10 Combine like terms: 4 + 10 = 14 8b = 14 Divide each side by '8'. b = 1.75 Simplifying b = 1.75
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