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Simplifying 15 + 2b + -4b = 2(-3b + 1) + 5 Combine like terms: 2b + -4b = -2b 15 + -2b = 2(-3b + 1) + 5 Reorder the terms: 15 + -2b = 2(1 + -3b) + 5 15 + -2b = (1 * 2 + -3b * 2) + 5 15 + -2b = (2 + -6b) + 5 Reorder the terms: 15 + -2b = 2 + 5 + -6b Combine like terms: 2 + 5 = 7 15 + -2b = 7 + -6b Solving 15 + -2b = 7 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 15 + -2b + 6b = 7 + -6b + 6b Combine like terms: -2b + 6b = 4b 15 + 4b = 7 + -6b + 6b Combine like terms: -6b + 6b = 0 15 + 4b = 7 + 0 15 + 4b = 7 Add '-15' to each side of the equation. 15 + -15 + 4b = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 4b = 7 + -15 4b = 7 + -15 Combine like terms: 7 + -15 = -8 4b = -8 Divide each side by '4'. b = -2 Simplifying b = -2
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