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Simplifying 12(4b + -11) = 1 + -11(3b + -10) Reorder the terms: 12(-11 + 4b) = 1 + -11(3b + -10) (-11 * 12 + 4b * 12) = 1 + -11(3b + -10) (-132 + 48b) = 1 + -11(3b + -10) Reorder the terms: -132 + 48b = 1 + -11(-10 + 3b) -132 + 48b = 1 + (-10 * -11 + 3b * -11) -132 + 48b = 1 + (110 + -33b) Combine like terms: 1 + 110 = 111 -132 + 48b = 111 + -33b Solving -132 + 48b = 111 + -33b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '33b' to each side of the equation. -132 + 48b + 33b = 111 + -33b + 33b Combine like terms: 48b + 33b = 81b -132 + 81b = 111 + -33b + 33b Combine like terms: -33b + 33b = 0 -132 + 81b = 111 + 0 -132 + 81b = 111 Add '132' to each side of the equation. -132 + 132 + 81b = 111 + 132 Combine like terms: -132 + 132 = 0 0 + 81b = 111 + 132 81b = 111 + 132 Combine like terms: 111 + 132 = 243 81b = 243 Divide each side by '81'. b = 3 Simplifying b = 3
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