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Simplifying 3(b + -2) + -2 = 4(b + -4) Reorder the terms: 3(-2 + b) + -2 = 4(b + -4) (-2 * 3 + b * 3) + -2 = 4(b + -4) (-6 + 3b) + -2 = 4(b + -4) Reorder the terms: -6 + -2 + 3b = 4(b + -4) Combine like terms: -6 + -2 = -8 -8 + 3b = 4(b + -4) Reorder the terms: -8 + 3b = 4(-4 + b) -8 + 3b = (-4 * 4 + b * 4) -8 + 3b = (-16 + 4b) Solving -8 + 3b = -16 + 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. -8 + 3b + -4b = -16 + 4b + -4b Combine like terms: 3b + -4b = -1b -8 + -1b = -16 + 4b + -4b Combine like terms: 4b + -4b = 0 -8 + -1b = -16 + 0 -8 + -1b = -16 Add '8' to each side of the equation. -8 + 8 + -1b = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = -16 + 8 -1b = -16 + 8 Combine like terms: -16 + 8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8
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