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Simplifying 4(4b + -1) = 2(9b + 3) Reorder the terms: 4(-1 + 4b) = 2(9b + 3) (-1 * 4 + 4b * 4) = 2(9b + 3) (-4 + 16b) = 2(9b + 3) Reorder the terms: -4 + 16b = 2(3 + 9b) -4 + 16b = (3 * 2 + 9b * 2) -4 + 16b = (6 + 18b) Solving -4 + 16b = 6 + 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. -4 + 16b + -18b = 6 + 18b + -18b Combine like terms: 16b + -18b = -2b -4 + -2b = 6 + 18b + -18b Combine like terms: 18b + -18b = 0 -4 + -2b = 6 + 0 -4 + -2b = 6 Add '4' to each side of the equation. -4 + 4 + -2b = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -2b = 6 + 4 -2b = 6 + 4 Combine like terms: 6 + 4 = 10 -2b = 10 Divide each side by '-2'. b = -5 Simplifying b = -5
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