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Simplifying 7b + -4(3b + 7) = 7 + -1(8 + 8b) Reorder the terms: 7b + -4(7 + 3b) = 7 + -1(8 + 8b) 7b + (7 * -4 + 3b * -4) = 7 + -1(8 + 8b) 7b + (-28 + -12b) = 7 + -1(8 + 8b) Reorder the terms: -28 + 7b + -12b = 7 + -1(8 + 8b) Combine like terms: 7b + -12b = -5b -28 + -5b = 7 + -1(8 + 8b) -28 + -5b = 7 + (8 * -1 + 8b * -1) -28 + -5b = 7 + (-8 + -8b) Combine like terms: 7 + -8 = -1 -28 + -5b = -1 + -8b Solving -28 + -5b = -1 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -28 + -5b + 8b = -1 + -8b + 8b Combine like terms: -5b + 8b = 3b -28 + 3b = -1 + -8b + 8b Combine like terms: -8b + 8b = 0 -28 + 3b = -1 + 0 -28 + 3b = -1 Add '28' to each side of the equation. -28 + 28 + 3b = -1 + 28 Combine like terms: -28 + 28 = 0 0 + 3b = -1 + 28 3b = -1 + 28 Combine like terms: -1 + 28 = 27 3b = 27 Divide each side by '3'. b = 9 Simplifying b = 9
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