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Simplifying 38 + 2b = 7(5b + -4) Reorder the terms: 38 + 2b = 7(-4 + 5b) 38 + 2b = (-4 * 7 + 5b * 7) 38 + 2b = (-28 + 35b) Solving 38 + 2b = -28 + 35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35b' to each side of the equation. 38 + 2b + -35b = -28 + 35b + -35b Combine like terms: 2b + -35b = -33b 38 + -33b = -28 + 35b + -35b Combine like terms: 35b + -35b = 0 38 + -33b = -28 + 0 38 + -33b = -28 Add '-38' to each side of the equation. 38 + -38 + -33b = -28 + -38 Combine like terms: 38 + -38 = 0 0 + -33b = -28 + -38 -33b = -28 + -38 Combine like terms: -28 + -38 = -66 -33b = -66 Divide each side by '-33'. b = 2 Simplifying b = 2
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