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Simplifying 3(b + -7) = 4(b + 5) Reorder the terms: 3(-7 + b) = 4(b + 5) (-7 * 3 + b * 3) = 4(b + 5) (-21 + 3b) = 4(b + 5) Reorder the terms: -21 + 3b = 4(5 + b) -21 + 3b = (5 * 4 + b * 4) -21 + 3b = (20 + 4b) Solving -21 + 3b = 20 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -21 + 3b + -4b = 20 + 4b + -4b Combine like terms: 3b + -4b = -1b -21 + -1b = 20 + 4b + -4b Combine like terms: 4b + -4b = 0 -21 + -1b = 20 + 0 -21 + -1b = 20 Add '21' to each side of the equation. -21 + 21 + -1b = 20 + 21 Combine like terms: -21 + 21 = 0 0 + -1b = 20 + 21 -1b = 20 + 21 Combine like terms: 20 + 21 = 41 -1b = 41 Divide each side by '-1'. b = -41 Simplifying b = -41
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