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Simplifying -53 = 4 + 3(1 + -4b) -53 = 4 + (1 * 3 + -4b * 3) -53 = 4 + (3 + -12b) Combine like terms: 4 + 3 = 7 -53 = 7 + -12b Solving -53 = 7 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. -53 + 12b = 7 + -12b + 12b Combine like terms: -12b + 12b = 0 -53 + 12b = 7 + 0 -53 + 12b = 7 Add '53' to each side of the equation. -53 + 53 + 12b = 7 + 53 Combine like terms: -53 + 53 = 0 0 + 12b = 7 + 53 12b = 7 + 53 Combine like terms: 7 + 53 = 60 12b = 60 Divide each side by '12'. b = 5 Simplifying b = 5
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