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Simplifying 7(b + -1) = 5(3b + -2) + -5 Reorder the terms: 7(-1 + b) = 5(3b + -2) + -5 (-1 * 7 + b * 7) = 5(3b + -2) + -5 (-7 + 7b) = 5(3b + -2) + -5 Reorder the terms: -7 + 7b = 5(-2 + 3b) + -5 -7 + 7b = (-2 * 5 + 3b * 5) + -5 -7 + 7b = (-10 + 15b) + -5 Reorder the terms: -7 + 7b = -10 + -5 + 15b Combine like terms: -10 + -5 = -15 -7 + 7b = -15 + 15b Solving -7 + 7b = -15 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. -7 + 7b + -15b = -15 + 15b + -15b Combine like terms: 7b + -15b = -8b -7 + -8b = -15 + 15b + -15b Combine like terms: 15b + -15b = 0 -7 + -8b = -15 + 0 -7 + -8b = -15 Add '7' to each side of the equation. -7 + 7 + -8b = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -8b = -15 + 7 -8b = -15 + 7 Combine like terms: -15 + 7 = -8 -8b = -8 Divide each side by '-8'. b = 1 Simplifying b = 1
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