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Simplifying -8(3b + -6) + 7(1 + 4b) = -2b + -5b Reorder the terms: -8(-6 + 3b) + 7(1 + 4b) = -2b + -5b (-6 * -8 + 3b * -8) + 7(1 + 4b) = -2b + -5b (48 + -24b) + 7(1 + 4b) = -2b + -5b 48 + -24b + (1 * 7 + 4b * 7) = -2b + -5b 48 + -24b + (7 + 28b) = -2b + -5b Reorder the terms: 48 + 7 + -24b + 28b = -2b + -5b Combine like terms: 48 + 7 = 55 55 + -24b + 28b = -2b + -5b Combine like terms: -24b + 28b = 4b 55 + 4b = -2b + -5b Combine like terms: -2b + -5b = -7b 55 + 4b = -7b Solving 55 + 4b = -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 55 + 4b + 7b = -7b + 7b Combine like terms: 4b + 7b = 11b 55 + 11b = -7b + 7b Combine like terms: -7b + 7b = 0 55 + 11b = 0 Add '-55' to each side of the equation. 55 + -55 + 11b = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 11b = 0 + -55 11b = 0 + -55 Combine like terms: 0 + -55 = -55 11b = -55 Divide each side by '11'. b = -5 Simplifying b = -5
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