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Simplifying -76 = 5(-3b + -2) + -6 Reorder the terms: -76 = 5(-2 + -3b) + -6 -76 = (-2 * 5 + -3b * 5) + -6 -76 = (-10 + -15b) + -6 Reorder the terms: -76 = -10 + -6 + -15b Combine like terms: -10 + -6 = -16 -76 = -16 + -15b Solving -76 = -16 + -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. -76 + 15b = -16 + -15b + 15b Combine like terms: -15b + 15b = 0 -76 + 15b = -16 + 0 -76 + 15b = -16 Add '76' to each side of the equation. -76 + 76 + 15b = -16 + 76 Combine like terms: -76 + 76 = 0 0 + 15b = -16 + 76 15b = -16 + 76 Combine like terms: -16 + 76 = 60 15b = 60 Divide each side by '15'. b = 4 Simplifying b = 4
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