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Simplifying -3(5b + 4) + 3 = -3(5 + 7b) Reorder the terms: -3(4 + 5b) + 3 = -3(5 + 7b) (4 * -3 + 5b * -3) + 3 = -3(5 + 7b) (-12 + -15b) + 3 = -3(5 + 7b) Reorder the terms: -12 + 3 + -15b = -3(5 + 7b) Combine like terms: -12 + 3 = -9 -9 + -15b = -3(5 + 7b) -9 + -15b = (5 * -3 + 7b * -3) -9 + -15b = (-15 + -21b) Solving -9 + -15b = -15 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. -9 + -15b + 21b = -15 + -21b + 21b Combine like terms: -15b + 21b = 6b -9 + 6b = -15 + -21b + 21b Combine like terms: -21b + 21b = 0 -9 + 6b = -15 + 0 -9 + 6b = -15 Add '9' to each side of the equation. -9 + 9 + 6b = -15 + 9 Combine like terms: -9 + 9 = 0 0 + 6b = -15 + 9 6b = -15 + 9 Combine like terms: -15 + 9 = -6 6b = -6 Divide each side by '6'. b = -1 Simplifying b = -1
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