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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 = -66 -22b = -66 Divide each side by '-22'. b = 3 Simplifying b = 3
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