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Simplifying 3(b + -24) = 19 + -2(b + -2) Reorder the terms: 3(-24 + b) = 19 + -2(b + -2) (-24 * 3 + b * 3) = 19 + -2(b + -2) (-72 + 3b) = 19 + -2(b + -2) Reorder the terms: -72 + 3b = 19 + -2(-2 + b) -72 + 3b = 19 + (-2 * -2 + b * -2) -72 + 3b = 19 + (4 + -2b) Combine like terms: 19 + 4 = 23 -72 + 3b = 23 + -2b Solving -72 + 3b = 23 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -72 + 3b + 2b = 23 + -2b + 2b Combine like terms: 3b + 2b = 5b -72 + 5b = 23 + -2b + 2b Combine like terms: -2b + 2b = 0 -72 + 5b = 23 + 0 -72 + 5b = 23 Add '72' to each side of the equation. -72 + 72 + 5b = 23 + 72 Combine like terms: -72 + 72 = 0 0 + 5b = 23 + 72 5b = 23 + 72 Combine like terms: 23 + 72 = 95 5b = 95 Divide each side by '5'. b = 19 Simplifying b = 19
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