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Simplifying 4(-1b + 7) = -1(1 + 7v) Reorder the terms: 4(7 + -1b) = -1(1 + 7v) (7 * 4 + -1b * 4) = -1(1 + 7v) (28 + -4b) = -1(1 + 7v) 28 + -4b = (1 * -1 + 7v * -1) 28 + -4b = (-1 + -7v) Solving 28 + -4b = -1 + -7v Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -4b = -1 + -28 + -7v Combine like terms: 28 + -28 = 0 0 + -4b = -1 + -28 + -7v -4b = -1 + -28 + -7v Combine like terms: -1 + -28 = -29 -4b = -29 + -7v Divide each side by '-4'. b = 7.25 + 1.75v Simplifying b = 7.25 + 1.75v
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