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Simplifying 13 = 3(5b + -4) + -10b Reorder the terms: 13 = 3(-4 + 5b) + -10b 13 = (-4 * 3 + 5b * 3) + -10b 13 = (-12 + 15b) + -10b Combine like terms: 15b + -10b = 5b 13 = -12 + 5b Solving 13 = -12 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 13 + -5b = -12 + 5b + -5b Combine like terms: 5b + -5b = 0 13 + -5b = -12 + 0 13 + -5b = -12 Add '-13' to each side of the equation. 13 + -13 + -5b = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -5b = -12 + -13 -5b = -12 + -13 Combine like terms: -12 + -13 = -25 -5b = -25 Divide each side by '-5'. b = 5 Simplifying b = 5
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