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Simplifying -15 + 6b = -3(b + -7) Reorder the terms: -15 + 6b = -3(-7 + b) -15 + 6b = (-7 * -3 + b * -3) -15 + 6b = (21 + -3b) Solving -15 + 6b = 21 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -15 + 6b + 3b = 21 + -3b + 3b Combine like terms: 6b + 3b = 9b -15 + 9b = 21 + -3b + 3b Combine like terms: -3b + 3b = 0 -15 + 9b = 21 + 0 -15 + 9b = 21 Add '15' to each side of the equation. -15 + 15 + 9b = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 9b = 21 + 15 9b = 21 + 15 Combine like terms: 21 + 15 = 36 9b = 36 Divide each side by '9'. b = 4 Simplifying b = 4
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