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Simplifying -48 = 3(3b + -5) + 3(7b + -1) Reorder the terms: -48 = 3(-5 + 3b) + 3(7b + -1) -48 = (-5 * 3 + 3b * 3) + 3(7b + -1) -48 = (-15 + 9b) + 3(7b + -1) Reorder the terms: -48 = -15 + 9b + 3(-1 + 7b) -48 = -15 + 9b + (-1 * 3 + 7b * 3) -48 = -15 + 9b + (-3 + 21b) Reorder the terms: -48 = -15 + -3 + 9b + 21b Combine like terms: -15 + -3 = -18 -48 = -18 + 9b + 21b Combine like terms: 9b + 21b = 30b -48 = -18 + 30b Solving -48 = -18 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. -48 + -30b = -18 + 30b + -30b Combine like terms: 30b + -30b = 0 -48 + -30b = -18 + 0 -48 + -30b = -18 Add '48' to each side of the equation. -48 + 48 + -30b = -18 + 48 Combine like terms: -48 + 48 = 0 0 + -30b = -18 + 48 -30b = -18 + 48 Combine like terms: -18 + 48 = 30 -30b = 30 Divide each side by '-30'. b = -1 Simplifying b = -1
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