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Simplifying 2(b + -3) + -5 = 3(b + -8) Reorder the terms: 2(-3 + b) + -5 = 3(b + -8) (-3 * 2 + b * 2) + -5 = 3(b + -8) (-6 + 2b) + -5 = 3(b + -8) Reorder the terms: -6 + -5 + 2b = 3(b + -8) Combine like terms: -6 + -5 = -11 -11 + 2b = 3(b + -8) Reorder the terms: -11 + 2b = 3(-8 + b) -11 + 2b = (-8 * 3 + b * 3) -11 + 2b = (-24 + 3b) Solving -11 + 2b = -24 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -11 + 2b + -3b = -24 + 3b + -3b Combine like terms: 2b + -3b = -1b -11 + -1b = -24 + 3b + -3b Combine like terms: 3b + -3b = 0 -11 + -1b = -24 + 0 -11 + -1b = -24 Add '11' to each side of the equation. -11 + 11 + -1b = -24 + 11 Combine like terms: -11 + 11 = 0 0 + -1b = -24 + 11 -1b = -24 + 11 Combine like terms: -24 + 11 = -13 -1b = -13 Divide each side by '-1'. b = 13 Simplifying b = 13
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