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Simplifying -3(-2b + 11) + -12 = b + -10(12b + -8) Reorder the terms: -3(11 + -2b) + -12 = b + -10(12b + -8) (11 * -3 + -2b * -3) + -12 = b + -10(12b + -8) (-33 + 6b) + -12 = b + -10(12b + -8) Reorder the terms: -33 + -12 + 6b = b + -10(12b + -8) Combine like terms: -33 + -12 = -45 -45 + 6b = b + -10(12b + -8) Reorder the terms: -45 + 6b = b + -10(-8 + 12b) -45 + 6b = b + (-8 * -10 + 12b * -10) -45 + 6b = b + (80 + -120b) Reorder the terms: -45 + 6b = 80 + b + -120b Combine like terms: b + -120b = -119b -45 + 6b = 80 + -119b Solving -45 + 6b = 80 + -119b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '119b' to each side of the equation. -45 + 6b + 119b = 80 + -119b + 119b Combine like terms: 6b + 119b = 125b -45 + 125b = 80 + -119b + 119b Combine like terms: -119b + 119b = 0 -45 + 125b = 80 + 0 -45 + 125b = 80 Add '45' to each side of the equation. -45 + 45 + 125b = 80 + 45 Combine like terms: -45 + 45 = 0 0 + 125b = 80 + 45 125b = 80 + 45 Combine like terms: 80 + 45 = 125 125b = 125 Divide each side by '125'. b = 1 Simplifying b = 1
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