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Simplifying 2(b + 36) = (4b + -10) * 6 Reorder the terms: 2(36 + b) = (4b + -10) * 6 (36 * 2 + b * 2) = (4b + -10) * 6 (72 + 2b) = (4b + -10) * 6 Reorder the terms: 72 + 2b = (-10 + 4b) * 6 Reorder the terms for easier multiplication: 72 + 2b = 6(-10 + 4b) 72 + 2b = (-10 * 6 + 4b * 6) 72 + 2b = (-60 + 24b) Solving 72 + 2b = -60 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. 72 + 2b + -24b = -60 + 24b + -24b Combine like terms: 2b + -24b = -22b 72 + -22b = -60 + 24b + -24b Combine like terms: 24b + -24b = 0 72 + -22b = -60 + 0 72 + -22b = -60 Add '-72' to each side of the equation. 72 + -72 + -22b = -60 + -72 Combine like terms: 72 + -72 = 0 0 + -22b = -60 + -72 -22b = -60 + -72 Combine like terms: -60 + -72 = -132 -22b = -132 Divide each side by '-22'. b = 6 Simplifying b = 6
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