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Simplifying -3b + 7(4b + -4) = -1(6b + -3) Reorder the terms: -3b + 7(-4 + 4b) = -1(6b + -3) -3b + (-4 * 7 + 4b * 7) = -1(6b + -3) -3b + (-28 + 28b) = -1(6b + -3) Reorder the terms: -28 + -3b + 28b = -1(6b + -3) Combine like terms: -3b + 28b = 25b -28 + 25b = -1(6b + -3) Reorder the terms: -28 + 25b = -1(-3 + 6b) -28 + 25b = (-3 * -1 + 6b * -1) -28 + 25b = (3 + -6b) Solving -28 + 25b = 3 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -28 + 25b + 6b = 3 + -6b + 6b Combine like terms: 25b + 6b = 31b -28 + 31b = 3 + -6b + 6b Combine like terms: -6b + 6b = 0 -28 + 31b = 3 + 0 -28 + 31b = 3 Add '28' to each side of the equation. -28 + 28 + 31b = 3 + 28 Combine like terms: -28 + 28 = 0 0 + 31b = 3 + 28 31b = 3 + 28 Combine like terms: 3 + 28 = 31 31b = 31 Divide each side by '31'. b = 1 Simplifying b = 1
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