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Simplifying 3(b + -5) + (5b + -7) = 90 Reorder the terms: 3(-5 + b) + (5b + -7) = 90 (-5 * 3 + b * 3) + (5b + -7) = 90 (-15 + 3b) + (5b + -7) = 90 Reorder the terms: -15 + 3b + (-7 + 5b) = 90 Remove parenthesis around (-7 + 5b) -15 + 3b + -7 + 5b = 90 Reorder the terms: -15 + -7 + 3b + 5b = 90 Combine like terms: -15 + -7 = -22 -22 + 3b + 5b = 90 Combine like terms: 3b + 5b = 8b -22 + 8b = 90 Solving -22 + 8b = 90 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 8b = 90 + 22 Combine like terms: -22 + 22 = 0 0 + 8b = 90 + 22 8b = 90 + 22 Combine like terms: 90 + 22 = 112 8b = 112 Divide each side by '8'. b = 14 Simplifying b = 14
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