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Simplifying 10 + 4(b + -5) = 3(b + -10) Reorder the terms: 10 + 4(-5 + b) = 3(b + -10) 10 + (-5 * 4 + b * 4) = 3(b + -10) 10 + (-20 + 4b) = 3(b + -10) Combine like terms: 10 + -20 = -10 -10 + 4b = 3(b + -10) Reorder the terms: -10 + 4b = 3(-10 + b) -10 + 4b = (-10 * 3 + b * 3) -10 + 4b = (-30 + 3b) Solving -10 + 4b = -30 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -10 + 4b + -3b = -30 + 3b + -3b Combine like terms: 4b + -3b = 1b -10 + 1b = -30 + 3b + -3b Combine like terms: 3b + -3b = 0 -10 + 1b = -30 + 0 -10 + 1b = -30 Add '10' to each side of the equation. -10 + 10 + 1b = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = -30 + 10 1b = -30 + 10 Combine like terms: -30 + 10 = -20 1b = -20 Divide each side by '1'. b = -20 Simplifying b = -20
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