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Simplifying -7(3b + 6) = 25 + 4b Reorder the terms: -7(6 + 3b) = 25 + 4b (6 * -7 + 3b * -7) = 25 + 4b (-42 + -21b) = 25 + 4b Solving -42 + -21b = 25 + 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. -42 + -21b + -4b = 25 + 4b + -4b Combine like terms: -21b + -4b = -25b -42 + -25b = 25 + 4b + -4b Combine like terms: 4b + -4b = 0 -42 + -25b = 25 + 0 -42 + -25b = 25 Add '42' to each side of the equation. -42 + 42 + -25b = 25 + 42 Combine like terms: -42 + 42 = 0 0 + -25b = 25 + 42 -25b = 25 + 42 Combine like terms: 25 + 42 = 67 -25b = 67 Divide each side by '-25'. b = -2.68 Simplifying b = -2.68
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