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Simplifying 3(15b + -7) = 3b + -9 Reorder the terms: 3(-7 + 15b) = 3b + -9 (-7 * 3 + 15b * 3) = 3b + -9 (-21 + 45b) = 3b + -9 Reorder the terms: -21 + 45b = -9 + 3b Solving -21 + 45b = -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. -21 + 45b + -3b = -9 + 3b + -3b Combine like terms: 45b + -3b = 42b -21 + 42b = -9 + 3b + -3b Combine like terms: 3b + -3b = 0 -21 + 42b = -9 + 0 -21 + 42b = -9 Add '21' to each side of the equation. -21 + 21 + 42b = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 42b = -9 + 21 42b = -9 + 21 Combine like terms: -9 + 21 = 12 42b = 12 Divide each side by '42'. b = 0.2857142857 Simplifying b = 0.2857142857
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