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Simplifying -36 + 2b = -2b + 6(5b + 7) Reorder the terms: -36 + 2b = -2b + 6(7 + 5b) -36 + 2b = -2b + (7 * 6 + 5b * 6) -36 + 2b = -2b + (42 + 30b) Reorder the terms: -36 + 2b = 42 + -2b + 30b Combine like terms: -2b + 30b = 28b -36 + 2b = 42 + 28b Solving -36 + 2b = 42 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. -36 + 2b + -28b = 42 + 28b + -28b Combine like terms: 2b + -28b = -26b -36 + -26b = 42 + 28b + -28b Combine like terms: 28b + -28b = 0 -36 + -26b = 42 + 0 -36 + -26b = 42 Add '36' to each side of the equation. -36 + 36 + -26b = 42 + 36 Combine like terms: -36 + 36 = 0 0 + -26b = 42 + 36 -26b = 42 + 36 Combine like terms: 42 + 36 = 78 -26b = 78 Divide each side by '-26'. b = -3 Simplifying b = -3
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