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Simplifying 7 = 7(2b + 5) + -6(b + 8) Reorder the terms: 7 = 7(5 + 2b) + -6(b + 8) 7 = (5 * 7 + 2b * 7) + -6(b + 8) 7 = (35 + 14b) + -6(b + 8) Reorder the terms: 7 = 35 + 14b + -6(8 + b) 7 = 35 + 14b + (8 * -6 + b * -6) 7 = 35 + 14b + (-48 + -6b) Reorder the terms: 7 = 35 + -48 + 14b + -6b Combine like terms: 35 + -48 = -13 7 = -13 + 14b + -6b Combine like terms: 14b + -6b = 8b 7 = -13 + 8b Solving 7 = -13 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 7 + -8b = -13 + 8b + -8b Combine like terms: 8b + -8b = 0 7 + -8b = -13 + 0 7 + -8b = -13 Add '-7' to each side of the equation. 7 + -7 + -8b = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -8b = -13 + -7 -8b = -13 + -7 Combine like terms: -13 + -7 = -20 -8b = -20 Divide each side by '-8'. b = 2.5 Simplifying b = 2.5
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