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Simplifying -7(-2b + -4) + -5b = 5 + 5(1 + 3b) Reorder the terms: -7(-4 + -2b) + -5b = 5 + 5(1 + 3b) (-4 * -7 + -2b * -7) + -5b = 5 + 5(1 + 3b) (28 + 14b) + -5b = 5 + 5(1 + 3b) Combine like terms: 14b + -5b = 9b 28 + 9b = 5 + 5(1 + 3b) 28 + 9b = 5 + (1 * 5 + 3b * 5) 28 + 9b = 5 + (5 + 15b) Combine like terms: 5 + 5 = 10 28 + 9b = 10 + 15b Solving 28 + 9b = 10 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 28 + 9b + -15b = 10 + 15b + -15b Combine like terms: 9b + -15b = -6b 28 + -6b = 10 + 15b + -15b Combine like terms: 15b + -15b = 0 28 + -6b = 10 + 0 28 + -6b = 10 Add '-28' to each side of the equation. 28 + -28 + -6b = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -6b = 10 + -28 -6b = 10 + -28 Combine like terms: 10 + -28 = -18 -6b = -18 Divide each side by '-6'. b = 3 Simplifying b = 3
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