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Simplifying 5(3b + -7) = 3(6b + -5) Reorder the terms: 5(-7 + 3b) = 3(6b + -5) (-7 * 5 + 3b * 5) = 3(6b + -5) (-35 + 15b) = 3(6b + -5) Reorder the terms: -35 + 15b = 3(-5 + 6b) -35 + 15b = (-5 * 3 + 6b * 3) -35 + 15b = (-15 + 18b) Solving -35 + 15b = -15 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -35 + 15b + -18b = -15 + 18b + -18b Combine like terms: 15b + -18b = -3b -35 + -3b = -15 + 18b + -18b Combine like terms: 18b + -18b = 0 -35 + -3b = -15 + 0 -35 + -3b = -15 Add '35' to each side of the equation. -35 + 35 + -3b = -15 + 35 Combine like terms: -35 + 35 = 0 0 + -3b = -15 + 35 -3b = -15 + 35 Combine like terms: -15 + 35 = 20 -3b = 20 Divide each side by '-3'. b = -6.666666667 Simplifying b = -6.666666667
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