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Simplifying -11(7b + 4) + -3 = 7(-12b + 1) + 10b Reorder the terms: -11(4 + 7b) + -3 = 7(-12b + 1) + 10b (4 * -11 + 7b * -11) + -3 = 7(-12b + 1) + 10b (-44 + -77b) + -3 = 7(-12b + 1) + 10b Reorder the terms: -44 + -3 + -77b = 7(-12b + 1) + 10b Combine like terms: -44 + -3 = -47 -47 + -77b = 7(-12b + 1) + 10b Reorder the terms: -47 + -77b = 7(1 + -12b) + 10b -47 + -77b = (1 * 7 + -12b * 7) + 10b -47 + -77b = (7 + -84b) + 10b Combine like terms: -84b + 10b = -74b -47 + -77b = 7 + -74b Solving -47 + -77b = 7 + -74b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '74b' to each side of the equation. -47 + -77b + 74b = 7 + -74b + 74b Combine like terms: -77b + 74b = -3b -47 + -3b = 7 + -74b + 74b Combine like terms: -74b + 74b = 0 -47 + -3b = 7 + 0 -47 + -3b = 7 Add '47' to each side of the equation. -47 + 47 + -3b = 7 + 47 Combine like terms: -47 + 47 = 0 0 + -3b = 7 + 47 -3b = 7 + 47 Combine like terms: 7 + 47 = 54 -3b = 54 Divide each side by '-3'. b = -18 Simplifying b = -18
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