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