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Simplifying 7(1 + -4b) = 7b + 7 (1 * 7 + -4b * 7) = 7b + 7 (7 + -28b) = 7b + 7 Reorder the terms: 7 + -28b = 7 + 7b Add '-7' to each side of the equation. 7 + -7 + -28b = 7 + -7 + 7b Combine like terms: 7 + -7 = 0 0 + -28b = 7 + -7 + 7b -28b = 7 + -7 + 7b Combine like terms: 7 + -7 = 0 -28b = 0 + 7b -28b = 7b Solving -28b = 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. -28b + -7b = 7b + -7b Combine like terms: -28b + -7b = -35b -35b = 7b + -7b Combine like terms: 7b + -7b = 0 -35b = 0 Divide each side by '-35'. b = 0 Simplifying b = 0
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