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Simplifying 2(b + -3) + -2 = 3(b + -5) Reorder the terms: 2(-3 + b) + -2 = 3(b + -5) (-3 * 2 + b * 2) + -2 = 3(b + -5) (-6 + 2b) + -2 = 3(b + -5) Reorder the terms: -6 + -2 + 2b = 3(b + -5) Combine like terms: -6 + -2 = -8 -8 + 2b = 3(b + -5) Reorder the terms: -8 + 2b = 3(-5 + b) -8 + 2b = (-5 * 3 + b * 3) -8 + 2b = (-15 + 3b) Solving -8 + 2b = -15 + 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. -8 + 2b + -3b = -15 + 3b + -3b Combine like terms: 2b + -3b = -1b -8 + -1b = -15 + 3b + -3b Combine like terms: 3b + -3b = 0 -8 + -1b = -15 + 0 -8 + -1b = -15 Add '8' to each side of the equation. -8 + 8 + -1b = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = -15 + 8 -1b = -15 + 8 Combine like terms: -15 + 8 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7
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