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Simplifying -40 = 8(7 + 6b) + -8(2b + 4) -40 = (7 * 8 + 6b * 8) + -8(2b + 4) -40 = (56 + 48b) + -8(2b + 4) Reorder the terms: -40 = 56 + 48b + -8(4 + 2b) -40 = 56 + 48b + (4 * -8 + 2b * -8) -40 = 56 + 48b + (-32 + -16b) Reorder the terms: -40 = 56 + -32 + 48b + -16b Combine like terms: 56 + -32 = 24 -40 = 24 + 48b + -16b Combine like terms: 48b + -16b = 32b -40 = 24 + 32b Solving -40 = 24 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. -40 + -32b = 24 + 32b + -32b Combine like terms: 32b + -32b = 0 -40 + -32b = 24 + 0 -40 + -32b = 24 Add '40' to each side of the equation. -40 + 40 + -32b = 24 + 40 Combine like terms: -40 + 40 = 0 0 + -32b = 24 + 40 -32b = 24 + 40 Combine like terms: 24 + 40 = 64 -32b = 64 Divide each side by '-32'. b = -2 Simplifying b = -2
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