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Simplifying 4(b + -5) + -10 = 2(b + 3) Reorder the terms: 4(-5 + b) + -10 = 2(b + 3) (-5 * 4 + b * 4) + -10 = 2(b + 3) (-20 + 4b) + -10 = 2(b + 3) Reorder the terms: -20 + -10 + 4b = 2(b + 3) Combine like terms: -20 + -10 = -30 -30 + 4b = 2(b + 3) Reorder the terms: -30 + 4b = 2(3 + b) -30 + 4b = (3 * 2 + b * 2) -30 + 4b = (6 + 2b) Solving -30 + 4b = 6 + 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. -30 + 4b + -2b = 6 + 2b + -2b Combine like terms: 4b + -2b = 2b -30 + 2b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 -30 + 2b = 6 + 0 -30 + 2b = 6 Add '30' to each side of the equation. -30 + 30 + 2b = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 2b = 6 + 30 2b = 6 + 30 Combine like terms: 6 + 30 = 36 2b = 36 Divide each side by '2'. b = 18 Simplifying b = 18
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