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Simplifying 8b + 3(b + -7) + 15 = 27 Reorder the terms: 8b + 3(-7 + b) + 15 = 27 8b + (-7 * 3 + b * 3) + 15 = 27 8b + (-21 + 3b) + 15 = 27 Reorder the terms: -21 + 15 + 8b + 3b = 27 Combine like terms: -21 + 15 = -6 -6 + 8b + 3b = 27 Combine like terms: 8b + 3b = 11b -6 + 11b = 27 Solving -6 + 11b = 27 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11b = 27 + 6 Combine like terms: -6 + 6 = 0 0 + 11b = 27 + 6 11b = 27 + 6 Combine like terms: 27 + 6 = 33 11b = 33 Divide each side by '11'. b = 3 Simplifying b = 3
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