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Simplifying -7(1 + 4b) = -8(b + -3) + 11b (1 * -7 + 4b * -7) = -8(b + -3) + 11b (-7 + -28b) = -8(b + -3) + 11b Reorder the terms: -7 + -28b = -8(-3 + b) + 11b -7 + -28b = (-3 * -8 + b * -8) + 11b -7 + -28b = (24 + -8b) + 11b Combine like terms: -8b + 11b = 3b -7 + -28b = 24 + 3b Solving -7 + -28b = 24 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -7 + -28b + -3b = 24 + 3b + -3b Combine like terms: -28b + -3b = -31b -7 + -31b = 24 + 3b + -3b Combine like terms: 3b + -3b = 0 -7 + -31b = 24 + 0 -7 + -31b = 24 Add '7' to each side of the equation. -7 + 7 + -31b = 24 + 7 Combine like terms: -7 + 7 = 0 0 + -31b = 24 + 7 -31b = 24 + 7 Combine like terms: 24 + 7 = 31 -31b = 31 Divide each side by '-31'. b = -1 Simplifying b = -1
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