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Simplifying 4 + -1b = -7(-1b + -4) Reorder the terms: 4 + -1b = -7(-4 + -1b) 4 + -1b = (-4 * -7 + -1b * -7) 4 + -1b = (28 + 7b) Solving 4 + -1b = 28 + 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. 4 + -1b + -7b = 28 + 7b + -7b Combine like terms: -1b + -7b = -8b 4 + -8b = 28 + 7b + -7b Combine like terms: 7b + -7b = 0 4 + -8b = 28 + 0 4 + -8b = 28 Add '-4' to each side of the equation. 4 + -4 + -8b = 28 + -4 Combine like terms: 4 + -4 = 0 0 + -8b = 28 + -4 -8b = 28 + -4 Combine like terms: 28 + -4 = 24 -8b = 24 Divide each side by '-8'. b = -3 Simplifying b = -3
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