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Simplifying 2b + 2 = -4(b + 7) Reorder the terms: 2 + 2b = -4(b + 7) Reorder the terms: 2 + 2b = -4(7 + b) 2 + 2b = (7 * -4 + b * -4) 2 + 2b = (-28 + -4b) Solving 2 + 2b = -28 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 2 + 2b + 4b = -28 + -4b + 4b Combine like terms: 2b + 4b = 6b 2 + 6b = -28 + -4b + 4b Combine like terms: -4b + 4b = 0 2 + 6b = -28 + 0 2 + 6b = -28 Add '-2' to each side of the equation. 2 + -2 + 6b = -28 + -2 Combine like terms: 2 + -2 = 0 0 + 6b = -28 + -2 6b = -28 + -2 Combine like terms: -28 + -2 = -30 6b = -30 Divide each side by '6'. b = -5 Simplifying b = -5
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