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Simplifying -4(-4 + 7b) = 4(-6b + -7) (-4 * -4 + 7b * -4) = 4(-6b + -7) (16 + -28b) = 4(-6b + -7) Reorder the terms: 16 + -28b = 4(-7 + -6b) 16 + -28b = (-7 * 4 + -6b * 4) 16 + -28b = (-28 + -24b) Solving 16 + -28b = -28 + -24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '24b' to each side of the equation. 16 + -28b + 24b = -28 + -24b + 24b Combine like terms: -28b + 24b = -4b 16 + -4b = -28 + -24b + 24b Combine like terms: -24b + 24b = 0 16 + -4b = -28 + 0 16 + -4b = -28 Add '-16' to each side of the equation. 16 + -16 + -4b = -28 + -16 Combine like terms: 16 + -16 = 0 0 + -4b = -28 + -16 -4b = -28 + -16 Combine like terms: -28 + -16 = -44 -4b = -44 Divide each side by '-4'. b = 11 Simplifying b = 11
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