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Simplifying 2(b + -3) + 5 = 3(b + -1) Reorder the terms: 2(-3 + b) + 5 = 3(b + -1) (-3 * 2 + b * 2) + 5 = 3(b + -1) (-6 + 2b) + 5 = 3(b + -1) Reorder the terms: -6 + 5 + 2b = 3(b + -1) Combine like terms: -6 + 5 = -1 -1 + 2b = 3(b + -1) Reorder the terms: -1 + 2b = 3(-1 + b) -1 + 2b = (-1 * 3 + b * 3) -1 + 2b = (-3 + 3b) Solving -1 + 2b = -3 + 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. -1 + 2b + -3b = -3 + 3b + -3b Combine like terms: 2b + -3b = -1b -1 + -1b = -3 + 3b + -3b Combine like terms: 3b + -3b = 0 -1 + -1b = -3 + 0 -1 + -1b = -3 Add '1' to each side of the equation. -1 + 1 + -1b = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -1b = -3 + 1 -1b = -3 + 1 Combine like terms: -3 + 1 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2
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