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Simplifying -4(1 + -6b) = -7(7 + 3b) (1 * -4 + -6b * -4) = -7(7 + 3b) (-4 + 24b) = -7(7 + 3b) -4 + 24b = (7 * -7 + 3b * -7) -4 + 24b = (-49 + -21b) Solving -4 + 24b = -49 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. -4 + 24b + 21b = -49 + -21b + 21b Combine like terms: 24b + 21b = 45b -4 + 45b = -49 + -21b + 21b Combine like terms: -21b + 21b = 0 -4 + 45b = -49 + 0 -4 + 45b = -49 Add '4' to each side of the equation. -4 + 4 + 45b = -49 + 4 Combine like terms: -4 + 4 = 0 0 + 45b = -49 + 4 45b = -49 + 4 Combine like terms: -49 + 4 = -45 45b = -45 Divide each side by '45'. b = -1 Simplifying b = -1
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