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Simplifying 10(b + -4) + -4(2b + -8) = b + 4 + -3b Reorder the terms: 10(-4 + b) + -4(2b + -8) = b + 4 + -3b (-4 * 10 + b * 10) + -4(2b + -8) = b + 4 + -3b (-40 + 10b) + -4(2b + -8) = b + 4 + -3b Reorder the terms: -40 + 10b + -4(-8 + 2b) = b + 4 + -3b -40 + 10b + (-8 * -4 + 2b * -4) = b + 4 + -3b -40 + 10b + (32 + -8b) = b + 4 + -3b Reorder the terms: -40 + 32 + 10b + -8b = b + 4 + -3b Combine like terms: -40 + 32 = -8 -8 + 10b + -8b = b + 4 + -3b Combine like terms: 10b + -8b = 2b -8 + 2b = b + 4 + -3b Reorder the terms: -8 + 2b = 4 + b + -3b Combine like terms: b + -3b = -2b -8 + 2b = 4 + -2b Solving -8 + 2b = 4 + -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. -8 + 2b + 2b = 4 + -2b + 2b Combine like terms: 2b + 2b = 4b -8 + 4b = 4 + -2b + 2b Combine like terms: -2b + 2b = 0 -8 + 4b = 4 + 0 -8 + 4b = 4 Add '8' to each side of the equation. -8 + 8 + 4b = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 4b = 4 + 8 4b = 4 + 8 Combine like terms: 4 + 8 = 12 4b = 12 Divide each side by '4'. b = 3 Simplifying b = 3
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