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Simplifying 30 = -8(b + -4) + 6(2b + -3) Reorder the terms: 30 = -8(-4 + b) + 6(2b + -3) 30 = (-4 * -8 + b * -8) + 6(2b + -3) 30 = (32 + -8b) + 6(2b + -3) Reorder the terms: 30 = 32 + -8b + 6(-3 + 2b) 30 = 32 + -8b + (-3 * 6 + 2b * 6) 30 = 32 + -8b + (-18 + 12b) Reorder the terms: 30 = 32 + -18 + -8b + 12b Combine like terms: 32 + -18 = 14 30 = 14 + -8b + 12b Combine like terms: -8b + 12b = 4b 30 = 14 + 4b Solving 30 = 14 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 30 + -4b = 14 + 4b + -4b Combine like terms: 4b + -4b = 0 30 + -4b = 14 + 0 30 + -4b = 14 Add '-30' to each side of the equation. 30 + -30 + -4b = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -4b = 14 + -30 -4b = 14 + -30 Combine like terms: 14 + -30 = -16 -4b = -16 Divide each side by '-4'. b = 4 Simplifying b = 4
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