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Simplifying 7 = 1 + -3(b + 4) Reorder the terms: 7 = 1 + -3(4 + b) 7 = 1 + (4 * -3 + b * -3) 7 = 1 + (-12 + -3b) Combine like terms: 1 + -12 = -11 7 = -11 + -3b Solving 7 = -11 + -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. 7 + 3b = -11 + -3b + 3b Combine like terms: -3b + 3b = 0 7 + 3b = -11 + 0 7 + 3b = -11 Add '-7' to each side of the equation. 7 + -7 + 3b = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 3b = -11 + -7 3b = -11 + -7 Combine like terms: -11 + -7 = -18 3b = -18 Divide each side by '3'. b = -6 Simplifying b = -6
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