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Simplifying 5b + -7 = 8(1 + b) Reorder the terms: -7 + 5b = 8(1 + b) -7 + 5b = (1 * 8 + b * 8) -7 + 5b = (8 + 8b) Solving -7 + 5b = 8 + 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. -7 + 5b + -8b = 8 + 8b + -8b Combine like terms: 5b + -8b = -3b -7 + -3b = 8 + 8b + -8b Combine like terms: 8b + -8b = 0 -7 + -3b = 8 + 0 -7 + -3b = 8 Add '7' to each side of the equation. -7 + 7 + -3b = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -3b = 8 + 7 -3b = 8 + 7 Combine like terms: 8 + 7 = 15 -3b = 15 Divide each side by '-3'. b = -5 Simplifying b = -5
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