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Simplifying -5(5 + 2b) + 3 = -2(-4 + 2b) (5 * -5 + 2b * -5) + 3 = -2(-4 + 2b) (-25 + -10b) + 3 = -2(-4 + 2b) Reorder the terms: -25 + 3 + -10b = -2(-4 + 2b) Combine like terms: -25 + 3 = -22 -22 + -10b = -2(-4 + 2b) -22 + -10b = (-4 * -2 + 2b * -2) -22 + -10b = (8 + -4b) Solving -22 + -10b = 8 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -22 + -10b + 4b = 8 + -4b + 4b Combine like terms: -10b + 4b = -6b -22 + -6b = 8 + -4b + 4b Combine like terms: -4b + 4b = 0 -22 + -6b = 8 + 0 -22 + -6b = 8 Add '22' to each side of the equation. -22 + 22 + -6b = 8 + 22 Combine like terms: -22 + 22 = 0 0 + -6b = 8 + 22 -6b = 8 + 22 Combine like terms: 8 + 22 = 30 -6b = 30 Divide each side by '-6'. b = -5 Simplifying b = -5
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