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Simplifying -8(3b + -7) = -14 + -2(b + 3) Reorder the terms: -8(-7 + 3b) = -14 + -2(b + 3) (-7 * -8 + 3b * -8) = -14 + -2(b + 3) (56 + -24b) = -14 + -2(b + 3) Reorder the terms: 56 + -24b = -14 + -2(3 + b) 56 + -24b = -14 + (3 * -2 + b * -2) 56 + -24b = -14 + (-6 + -2b) Combine like terms: -14 + -6 = -20 56 + -24b = -20 + -2b Solving 56 + -24b = -20 + -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 = -20 + -2b + 2b Combine like terms: -24b + 2b = -22b 56 + -22b = -20 + -2b + 2b Combine like terms: -2b + 2b = 0 56 + -22b = -20 + 0 56 + -22b = -20 Add '-56' to each side of the equation. 56 + -56 + -22b = -20 + -56 Combine like terms: 56 + -56 = 0 0 + -22b = -20 + -56 -22b = -20 + -56 Combine like terms: -20 + -56 = -76 -22b = -76 Divide each side by '-22'. b = 3.454545455 Simplifying b = 3.454545455
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