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Simplifying 7b + 3(-2b + -8) = 3b + -7(b + -3) Reorder the terms: 7b + 3(-8 + -2b) = 3b + -7(b + -3) 7b + (-8 * 3 + -2b * 3) = 3b + -7(b + -3) 7b + (-24 + -6b) = 3b + -7(b + -3) Reorder the terms: -24 + 7b + -6b = 3b + -7(b + -3) Combine like terms: 7b + -6b = 1b -24 + 1b = 3b + -7(b + -3) Reorder the terms: -24 + 1b = 3b + -7(-3 + b) -24 + 1b = 3b + (-3 * -7 + b * -7) -24 + 1b = 3b + (21 + -7b) Reorder the terms: -24 + 1b = 21 + 3b + -7b Combine like terms: 3b + -7b = -4b -24 + 1b = 21 + -4b Solving -24 + 1b = 21 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -24 + 1b + 4b = 21 + -4b + 4b Combine like terms: 1b + 4b = 5b -24 + 5b = 21 + -4b + 4b Combine like terms: -4b + 4b = 0 -24 + 5b = 21 + 0 -24 + 5b = 21 Add '24' to each side of the equation. -24 + 24 + 5b = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 5b = 21 + 24 5b = 21 + 24 Combine like terms: 21 + 24 = 45 5b = 45 Divide each side by '5'. b = 9 Simplifying b = 9
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