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Simplifying 7(-7b + 1) = -38 + -4b Reorder the terms: 7(1 + -7b) = -38 + -4b (1 * 7 + -7b * 7) = -38 + -4b (7 + -49b) = -38 + -4b Solving 7 + -49b = -38 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 7 + -49b + 4b = -38 + -4b + 4b Combine like terms: -49b + 4b = -45b 7 + -45b = -38 + -4b + 4b Combine like terms: -4b + 4b = 0 7 + -45b = -38 + 0 7 + -45b = -38 Add '-7' to each side of the equation. 7 + -7 + -45b = -38 + -7 Combine like terms: 7 + -7 = 0 0 + -45b = -38 + -7 -45b = -38 + -7 Combine like terms: -38 + -7 = -45 -45b = -45 Divide each side by '-45'. b = 1 Simplifying b = 1
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