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Simplifying -147 = -5(-7b + -1) + 3b Reorder the terms: -147 = -5(-1 + -7b) + 3b -147 = (-1 * -5 + -7b * -5) + 3b -147 = (5 + 35b) + 3b Combine like terms: 35b + 3b = 38b -147 = 5 + 38b Solving -147 = 5 + 38b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-38b' to each side of the equation. -147 + -38b = 5 + 38b + -38b Combine like terms: 38b + -38b = 0 -147 + -38b = 5 + 0 -147 + -38b = 5 Add '147' to each side of the equation. -147 + 147 + -38b = 5 + 147 Combine like terms: -147 + 147 = 0 0 + -38b = 5 + 147 -38b = 5 + 147 Combine like terms: 5 + 147 = 152 -38b = 152 Divide each side by '-38'. b = -4 Simplifying b = -4
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