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Simplifying 1(b + -6) + 1 = 2(b + -10) + -3 Reorder the terms: 1(-6 + b) + 1 = 2(b + -10) + -3 (-6 * 1 + b * 1) + 1 = 2(b + -10) + -3 (-6 + 1b) + 1 = 2(b + -10) + -3 Reorder the terms: -6 + 1 + 1b = 2(b + -10) + -3 Combine like terms: -6 + 1 = -5 -5 + 1b = 2(b + -10) + -3 Reorder the terms: -5 + 1b = 2(-10 + b) + -3 -5 + 1b = (-10 * 2 + b * 2) + -3 -5 + 1b = (-20 + 2b) + -3 Reorder the terms: -5 + 1b = -20 + -3 + 2b Combine like terms: -20 + -3 = -23 -5 + 1b = -23 + 2b Solving -5 + 1b = -23 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -5 + 1b + -2b = -23 + 2b + -2b Combine like terms: 1b + -2b = -1b -5 + -1b = -23 + 2b + -2b Combine like terms: 2b + -2b = 0 -5 + -1b = -23 + 0 -5 + -1b = -23 Add '5' to each side of the equation. -5 + 5 + -1b = -23 + 5 Combine like terms: -5 + 5 = 0 0 + -1b = -23 + 5 -1b = -23 + 5 Combine like terms: -23 + 5 = -18 -1b = -18 Divide each side by '-1'. b = 18 Simplifying b = 18
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