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Simplifying -7b + -4 = -3(5b + 4) Reorder the terms: -4 + -7b = -3(5b + 4) Reorder the terms: -4 + -7b = -3(4 + 5b) -4 + -7b = (4 * -3 + 5b * -3) -4 + -7b = (-12 + -15b) Solving -4 + -7b = -12 + -15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15b' to each side of the equation. -4 + -7b + 15b = -12 + -15b + 15b Combine like terms: -7b + 15b = 8b -4 + 8b = -12 + -15b + 15b Combine like terms: -15b + 15b = 0 -4 + 8b = -12 + 0 -4 + 8b = -12 Add '4' to each side of the equation. -4 + 4 + 8b = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 8b = -12 + 4 8b = -12 + 4 Combine like terms: -12 + 4 = -8 8b = -8 Divide each side by '8'. b = -1 Simplifying b = -1
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