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