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Simplifying 3b + -5 = 7[b + 1] Reorder the terms: -5 + 3b = 7[b + 1] Reorder the terms: -5 + 3b = 7[1 + b] -5 + 3b = [1 * 7 + b * 7] -5 + 3b = [7 + 7b] Solving -5 + 3b = 7 + 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. -5 + 3b + -7b = 7 + 7b + -7b Combine like terms: 3b + -7b = -4b -5 + -4b = 7 + 7b + -7b Combine like terms: 7b + -7b = 0 -5 + -4b = 7 + 0 -5 + -4b = 7 Add '5' to each side of the equation. -5 + 5 + -4b = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -4b = 7 + 5 -4b = 7 + 5 Combine like terms: 7 + 5 = 12 -4b = 12 Divide each side by '-4'. b = -3 Simplifying b = -3
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