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Simplifying 7(1 + 4b) = 7 + -3b (1 * 7 + 4b * 7) = 7 + -3b (7 + 28b) = 7 + -3b Add '-7' to each side of the equation. 7 + -7 + 28b = 7 + -7 + -3b Combine like terms: 7 + -7 = 0 0 + 28b = 7 + -7 + -3b 28b = 7 + -7 + -3b Combine like terms: 7 + -7 = 0 28b = 0 + -3b 28b = -3b Solving 28b = -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 28b + 3b = -3b + 3b Combine like terms: 28b + 3b = 31b 31b = -3b + 3b Combine like terms: -3b + 3b = 0 31b = 0 Divide each side by '31'. b = 0 Simplifying b = 0
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