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Simplifying 3b + -20 = 8(b + -6) + -1b Reorder the terms: -20 + 3b = 8(b + -6) + -1b Reorder the terms: -20 + 3b = 8(-6 + b) + -1b -20 + 3b = (-6 * 8 + b * 8) + -1b -20 + 3b = (-48 + 8b) + -1b Combine like terms: 8b + -1b = 7b -20 + 3b = -48 + 7b Solving -20 + 3b = -48 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -20 + 3b + -7b = -48 + 7b + -7b Combine like terms: 3b + -7b = -4b -20 + -4b = -48 + 7b + -7b Combine like terms: 7b + -7b = 0 -20 + -4b = -48 + 0 -20 + -4b = -48 Add '20' to each side of the equation. -20 + 20 + -4b = -48 + 20 Combine like terms: -20 + 20 = 0 0 + -4b = -48 + 20 -4b = -48 + 20 Combine like terms: -48 + 20 = -28 -4b = -28 Divide each side by '-4'. b = 7 Simplifying b = 7
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