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Simplifying 2(b + -4) + -1 = 6(-8 + b) + -1 Reorder the terms: 2(-4 + b) + -1 = 6(-8 + b) + -1 (-4 * 2 + b * 2) + -1 = 6(-8 + b) + -1 (-8 + 2b) + -1 = 6(-8 + b) + -1 Reorder the terms: -8 + -1 + 2b = 6(-8 + b) + -1 Combine like terms: -8 + -1 = -9 -9 + 2b = 6(-8 + b) + -1 -9 + 2b = (-8 * 6 + b * 6) + -1 -9 + 2b = (-48 + 6b) + -1 Reorder the terms: -9 + 2b = -48 + -1 + 6b Combine like terms: -48 + -1 = -49 -9 + 2b = -49 + 6b Solving -9 + 2b = -49 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -9 + 2b + -6b = -49 + 6b + -6b Combine like terms: 2b + -6b = -4b -9 + -4b = -49 + 6b + -6b Combine like terms: 6b + -6b = 0 -9 + -4b = -49 + 0 -9 + -4b = -49 Add '9' to each side of the equation. -9 + 9 + -4b = -49 + 9 Combine like terms: -9 + 9 = 0 0 + -4b = -49 + 9 -4b = -49 + 9 Combine like terms: -49 + 9 = -40 -4b = -40 Divide each side by '-4'. b = 10 Simplifying b = 10
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