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Simplifying 75 = -4(-4b + -8) + -1(1 + -6b) Reorder the terms: 75 = -4(-8 + -4b) + -1(1 + -6b) 75 = (-8 * -4 + -4b * -4) + -1(1 + -6b) 75 = (32 + 16b) + -1(1 + -6b) 75 = 32 + 16b + (1 * -1 + -6b * -1) 75 = 32 + 16b + (-1 + 6b) Reorder the terms: 75 = 32 + -1 + 16b + 6b Combine like terms: 32 + -1 = 31 75 = 31 + 16b + 6b Combine like terms: 16b + 6b = 22b 75 = 31 + 22b Solving 75 = 31 + 22b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22b' to each side of the equation. 75 + -22b = 31 + 22b + -22b Combine like terms: 22b + -22b = 0 75 + -22b = 31 + 0 75 + -22b = 31 Add '-75' to each side of the equation. 75 + -75 + -22b = 31 + -75 Combine like terms: 75 + -75 = 0 0 + -22b = 31 + -75 -22b = 31 + -75 Combine like terms: 31 + -75 = -44 -22b = -44 Divide each side by '-22'. b = 2 Simplifying b = 2
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