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Simplifying 15(3 + -1b) = 45 + -1b (3 * 15 + -1b * 15) = 45 + -1b (45 + -15b) = 45 + -1b Add '-45' to each side of the equation. 45 + -45 + -15b = 45 + -45 + -1b Combine like terms: 45 + -45 = 0 0 + -15b = 45 + -45 + -1b -15b = 45 + -45 + -1b Combine like terms: 45 + -45 = 0 -15b = 0 + -1b -15b = -1b Solving -15b = -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -15b + b = -1b + b Combine like terms: -15b + b = -14b -14b = -1b + b Combine like terms: -1b + b = 0 -14b = 0 Divide each side by '-14'. b = 0 Simplifying b = 0
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