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Simplifying -4(3b + 7) = 2(9b + 1) Reorder the terms: -4(7 + 3b) = 2(9b + 1) (7 * -4 + 3b * -4) = 2(9b + 1) (-28 + -12b) = 2(9b + 1) Reorder the terms: -28 + -12b = 2(1 + 9b) -28 + -12b = (1 * 2 + 9b * 2) -28 + -12b = (2 + 18b) Solving -28 + -12b = 2 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -28 + -12b + -18b = 2 + 18b + -18b Combine like terms: -12b + -18b = -30b -28 + -30b = 2 + 18b + -18b Combine like terms: 18b + -18b = 0 -28 + -30b = 2 + 0 -28 + -30b = 2 Add '28' to each side of the equation. -28 + 28 + -30b = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -30b = 2 + 28 -30b = 2 + 28 Combine like terms: 2 + 28 = 30 -30b = 30 Divide each side by '-30'. b = -1 Simplifying b = -1
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