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Simplifying -60 = 3(b + 2) + 6(-3b + -6) Reorder the terms: -60 = 3(2 + b) + 6(-3b + -6) -60 = (2 * 3 + b * 3) + 6(-3b + -6) -60 = (6 + 3b) + 6(-3b + -6) Reorder the terms: -60 = 6 + 3b + 6(-6 + -3b) -60 = 6 + 3b + (-6 * 6 + -3b * 6) -60 = 6 + 3b + (-36 + -18b) Reorder the terms: -60 = 6 + -36 + 3b + -18b Combine like terms: 6 + -36 = -30 -60 = -30 + 3b + -18b Combine like terms: 3b + -18b = -15b -60 = -30 + -15b Solving -60 = -30 + -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. -60 + 15b = -30 + -15b + 15b Combine like terms: -15b + 15b = 0 -60 + 15b = -30 + 0 -60 + 15b = -30 Add '60' to each side of the equation. -60 + 60 + 15b = -30 + 60 Combine like terms: -60 + 60 = 0 0 + 15b = -30 + 60 15b = -30 + 60 Combine like terms: -30 + 60 = 30 15b = 30 Divide each side by '15'. b = 2 Simplifying b = 2
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