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Simplifying 5(2 + -3b) + -13 = 12 (2 * 5 + -3b * 5) + -13 = 12 (10 + -15b) + -13 = 12 Reorder the terms: 10 + -13 + -15b = 12 Combine like terms: 10 + -13 = -3 -3 + -15b = 12 Solving -3 + -15b = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -15b = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -15b = 12 + 3 -15b = 12 + 3 Combine like terms: 12 + 3 = 15 -15b = 15 Divide each side by '-15'. b = -1 Simplifying b = -1
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