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Simplifying 2(b + -5) = 5(b + 5) + -17 Reorder the terms: 2(-5 + b) = 5(b + 5) + -17 (-5 * 2 + b * 2) = 5(b + 5) + -17 (-10 + 2b) = 5(b + 5) + -17 Reorder the terms: -10 + 2b = 5(5 + b) + -17 -10 + 2b = (5 * 5 + b * 5) + -17 -10 + 2b = (25 + 5b) + -17 Reorder the terms: -10 + 2b = 25 + -17 + 5b Combine like terms: 25 + -17 = 8 -10 + 2b = 8 + 5b Solving -10 + 2b = 8 + 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 = 8 + 5b + -5b Combine like terms: 2b + -5b = -3b -10 + -3b = 8 + 5b + -5b Combine like terms: 5b + -5b = 0 -10 + -3b = 8 + 0 -10 + -3b = 8 Add '10' to each side of the equation. -10 + 10 + -3b = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -3b = 8 + 10 -3b = 8 + 10 Combine like terms: 8 + 10 = 18 -3b = 18 Divide each side by '-3'. b = -6 Simplifying b = -6
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