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Simplifying -36 = -3(8 + b) + -3(b + -2) -36 = (8 * -3 + b * -3) + -3(b + -2) -36 = (-24 + -3b) + -3(b + -2) Reorder the terms: -36 = -24 + -3b + -3(-2 + b) -36 = -24 + -3b + (-2 * -3 + b * -3) -36 = -24 + -3b + (6 + -3b) Reorder the terms: -36 = -24 + 6 + -3b + -3b Combine like terms: -24 + 6 = -18 -36 = -18 + -3b + -3b Combine like terms: -3b + -3b = -6b -36 = -18 + -6b Solving -36 = -18 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -36 + 6b = -18 + -6b + 6b Combine like terms: -6b + 6b = 0 -36 + 6b = -18 + 0 -36 + 6b = -18 Add '36' to each side of the equation. -36 + 36 + 6b = -18 + 36 Combine like terms: -36 + 36 = 0 0 + 6b = -18 + 36 6b = -18 + 36 Combine like terms: -18 + 36 = 18 6b = 18 Divide each side by '6'. b = 3 Simplifying b = 3
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