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Simplifying 2b + -10 = 5(b + 2) + 1 Reorder the terms: -10 + 2b = 5(b + 2) + 1 Reorder the terms: -10 + 2b = 5(2 + b) + 1 -10 + 2b = (2 * 5 + b * 5) + 1 -10 + 2b = (10 + 5b) + 1 Reorder the terms: -10 + 2b = 10 + 1 + 5b Combine like terms: 10 + 1 = 11 -10 + 2b = 11 + 5b Solving -10 + 2b = 11 + 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. -10 + 2b + -5b = 11 + 5b + -5b Combine like terms: 2b + -5b = -3b -10 + -3b = 11 + 5b + -5b Combine like terms: 5b + -5b = 0 -10 + -3b = 11 + 0 -10 + -3b = 11 Add '10' to each side of the equation. -10 + 10 + -3b = 11 + 10 Combine like terms: -10 + 10 = 0 0 + -3b = 11 + 10 -3b = 11 + 10 Combine like terms: 11 + 10 = 21 -3b = 21 Divide each side by '-3'. b = -7 Simplifying b = -7
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