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Simplifying 8(4b + -7) + 8(6 + b) = 112 Reorder the terms: 8(-7 + 4b) + 8(6 + b) = 112 (-7 * 8 + 4b * 8) + 8(6 + b) = 112 (-56 + 32b) + 8(6 + b) = 112 -56 + 32b + (6 * 8 + b * 8) = 112 -56 + 32b + (48 + 8b) = 112 Reorder the terms: -56 + 48 + 32b + 8b = 112 Combine like terms: -56 + 48 = -8 -8 + 32b + 8b = 112 Combine like terms: 32b + 8b = 40b -8 + 40b = 112 Solving -8 + 40b = 112 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 40b = 112 + 8 Combine like terms: -8 + 8 = 0 0 + 40b = 112 + 8 40b = 112 + 8 Combine like terms: 112 + 8 = 120 40b = 120 Divide each side by '40'. b = 3 Simplifying b = 3
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