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Simplifying -20 = 6(-6b + 8) + 4(4b + 8) Reorder the terms: -20 = 6(8 + -6b) + 4(4b + 8) -20 = (8 * 6 + -6b * 6) + 4(4b + 8) -20 = (48 + -36b) + 4(4b + 8) Reorder the terms: -20 = 48 + -36b + 4(8 + 4b) -20 = 48 + -36b + (8 * 4 + 4b * 4) -20 = 48 + -36b + (32 + 16b) Reorder the terms: -20 = 48 + 32 + -36b + 16b Combine like terms: 48 + 32 = 80 -20 = 80 + -36b + 16b Combine like terms: -36b + 16b = -20b -20 = 80 + -20b Solving -20 = 80 + -20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20b' to each side of the equation. -20 + 20b = 80 + -20b + 20b Combine like terms: -20b + 20b = 0 -20 + 20b = 80 + 0 -20 + 20b = 80 Add '20' to each side of the equation. -20 + 20 + 20b = 80 + 20 Combine like terms: -20 + 20 = 0 0 + 20b = 80 + 20 20b = 80 + 20 Combine like terms: 80 + 20 = 100 20b = 100 Divide each side by '20'. b = 5 Simplifying b = 5
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