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Simplifying 2(b + -4) + -4 = 3(b + -8) Reorder the terms: 2(-4 + b) + -4 = 3(b + -8) (-4 * 2 + b * 2) + -4 = 3(b + -8) (-8 + 2b) + -4 = 3(b + -8) Reorder the terms: -8 + -4 + 2b = 3(b + -8) Combine like terms: -8 + -4 = -12 -12 + 2b = 3(b + -8) Reorder the terms: -12 + 2b = 3(-8 + b) -12 + 2b = (-8 * 3 + b * 3) -12 + 2b = (-24 + 3b) Solving -12 + 2b = -24 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -12 + 2b + -3b = -24 + 3b + -3b Combine like terms: 2b + -3b = -1b -12 + -1b = -24 + 3b + -3b Combine like terms: 3b + -3b = 0 -12 + -1b = -24 + 0 -12 + -1b = -24 Add '12' to each side of the equation. -12 + 12 + -1b = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -1b = -24 + 12 -1b = -24 + 12 Combine like terms: -24 + 12 = -12 -1b = -12 Divide each side by '-1'. b = 12 Simplifying b = 12
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