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Simplifying -7(b + -7) + 3(b + -4) = 25 Reorder the terms: -7(-7 + b) + 3(b + -4) = 25 (-7 * -7 + b * -7) + 3(b + -4) = 25 (49 + -7b) + 3(b + -4) = 25 Reorder the terms: 49 + -7b + 3(-4 + b) = 25 49 + -7b + (-4 * 3 + b * 3) = 25 49 + -7b + (-12 + 3b) = 25 Reorder the terms: 49 + -12 + -7b + 3b = 25 Combine like terms: 49 + -12 = 37 37 + -7b + 3b = 25 Combine like terms: -7b + 3b = -4b 37 + -4b = 25 Solving 37 + -4b = 25 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -4b = 25 + -37 Combine like terms: 37 + -37 = 0 0 + -4b = 25 + -37 -4b = 25 + -37 Combine like terms: 25 + -37 = -12 -4b = -12 Divide each side by '-4'. b = 3 Simplifying b = 3
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