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Simplifying -8(3b + 7) = -4 + -2(b + 3) Reorder the terms: -8(7 + 3b) = -4 + -2(b + 3) (7 * -8 + 3b * -8) = -4 + -2(b + 3) (-56 + -24b) = -4 + -2(b + 3) Reorder the terms: -56 + -24b = -4 + -2(3 + b) -56 + -24b = -4 + (3 * -2 + b * -2) -56 + -24b = -4 + (-6 + -2b) Combine like terms: -4 + -6 = -10 -56 + -24b = -10 + -2b Solving -56 + -24b = -10 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -56 + -24b + 2b = -10 + -2b + 2b Combine like terms: -24b + 2b = -22b -56 + -22b = -10 + -2b + 2b Combine like terms: -2b + 2b = 0 -56 + -22b = -10 + 0 -56 + -22b = -10 Add '56' to each side of the equation. -56 + 56 + -22b = -10 + 56 Combine like terms: -56 + 56 = 0 0 + -22b = -10 + 56 -22b = -10 + 56 Combine like terms: -10 + 56 = 46 -22b = 46 Divide each side by '-22'. b = -2.090909091 Simplifying b = -2.090909091
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