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Simplifying 5b + -2 = 2(3b + -4) Reorder the terms: -2 + 5b = 2(3b + -4) Reorder the terms: -2 + 5b = 2(-4 + 3b) -2 + 5b = (-4 * 2 + 3b * 2) -2 + 5b = (-8 + 6b) Solving -2 + 5b = -8 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -2 + 5b + -6b = -8 + 6b + -6b Combine like terms: 5b + -6b = -1b -2 + -1b = -8 + 6b + -6b Combine like terms: 6b + -6b = 0 -2 + -1b = -8 + 0 -2 + -1b = -8 Add '2' to each side of the equation. -2 + 2 + -1b = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -1b = -8 + 2 -1b = -8 + 2 Combine like terms: -8 + 2 = -6 -1b = -6 Divide each side by '-1'. b = 6 Simplifying b = 6
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