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Simplifying 5(3b + -5) = 4(4b + -5) Reorder the terms: 5(-5 + 3b) = 4(4b + -5) (-5 * 5 + 3b * 5) = 4(4b + -5) (-25 + 15b) = 4(4b + -5) Reorder the terms: -25 + 15b = 4(-5 + 4b) -25 + 15b = (-5 * 4 + 4b * 4) -25 + 15b = (-20 + 16b) Solving -25 + 15b = -20 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. -25 + 15b + -16b = -20 + 16b + -16b Combine like terms: 15b + -16b = -1b -25 + -1b = -20 + 16b + -16b Combine like terms: 16b + -16b = 0 -25 + -1b = -20 + 0 -25 + -1b = -20 Add '25' to each side of the equation. -25 + 25 + -1b = -20 + 25 Combine like terms: -25 + 25 = 0 0 + -1b = -20 + 25 -1b = -20 + 25 Combine like terms: -20 + 25 = 5 -1b = 5 Divide each side by '-1'. b = -5 Simplifying b = -5
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