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Simplifying 2(3b + -4) = 7b + -5 Reorder the terms: 2(-4 + 3b) = 7b + -5 (-4 * 2 + 3b * 2) = 7b + -5 (-8 + 6b) = 7b + -5 Reorder the terms: -8 + 6b = -5 + 7b Solving -8 + 6b = -5 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -8 + 6b + -7b = -5 + 7b + -7b Combine like terms: 6b + -7b = -1b -8 + -1b = -5 + 7b + -7b Combine like terms: 7b + -7b = 0 -8 + -1b = -5 + 0 -8 + -1b = -5 Add '8' to each side of the equation. -8 + 8 + -1b = -5 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = -5 + 8 -1b = -5 + 8 Combine like terms: -5 + 8 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3
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