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Simplifying -127 = -4 + -3(6b + 5) Reorder the terms: -127 = -4 + -3(5 + 6b) -127 = -4 + (5 * -3 + 6b * -3) -127 = -4 + (-15 + -18b) Combine like terms: -4 + -15 = -19 -127 = -19 + -18b Solving -127 = -19 + -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. -127 + 18b = -19 + -18b + 18b Combine like terms: -18b + 18b = 0 -127 + 18b = -19 + 0 -127 + 18b = -19 Add '127' to each side of the equation. -127 + 127 + 18b = -19 + 127 Combine like terms: -127 + 127 = 0 0 + 18b = -19 + 127 18b = -19 + 127 Combine like terms: -19 + 127 = 108 18b = 108 Divide each side by '18'. b = 6 Simplifying b = 6
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