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Simplifying -4b + 3(2x + -5) = 31 Reorder the terms: -4b + 3(-5 + 2x) = 31 -4b + (-5 * 3 + 2x * 3) = 31 -4b + (-15 + 6x) = 31 Reorder the terms: -15 + -4b + 6x = 31 Solving -15 + -4b + 6x = 31 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -4b + 15 + 6x = 31 + 15 Reorder the terms: -15 + 15 + -4b + 6x = 31 + 15 Combine like terms: -15 + 15 = 0 0 + -4b + 6x = 31 + 15 -4b + 6x = 31 + 15 Combine like terms: 31 + 15 = 46 -4b + 6x = 46 Add '-6x' to each side of the equation. -4b + 6x + -6x = 46 + -6x Combine like terms: 6x + -6x = 0 -4b + 0 = 46 + -6x -4b = 46 + -6x Divide each side by '-4'. b = -11.5 + 1.5x Simplifying b = -11.5 + 1.5x
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