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Simplifying 5(15b + -7) = 3b + -9 Reorder the terms: 5(-7 + 15b) = 3b + -9 (-7 * 5 + 15b * 5) = 3b + -9 (-35 + 75b) = 3b + -9 Reorder the terms: -35 + 75b = -9 + 3b Solving -35 + 75b = -9 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -35 + 75b + -3b = -9 + 3b + -3b Combine like terms: 75b + -3b = 72b -35 + 72b = -9 + 3b + -3b Combine like terms: 3b + -3b = 0 -35 + 72b = -9 + 0 -35 + 72b = -9 Add '35' to each side of the equation. -35 + 35 + 72b = -9 + 35 Combine like terms: -35 + 35 = 0 0 + 72b = -9 + 35 72b = -9 + 35 Combine like terms: -9 + 35 = 26 72b = 26 Divide each side by '72'. b = 0.3611111111 Simplifying b = 0.3611111111
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