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Simplifying 5(b + -2) = 15(3b + -3) Reorder the terms: 5(-2 + b) = 15(3b + -3) (-2 * 5 + b * 5) = 15(3b + -3) (-10 + 5b) = 15(3b + -3) Reorder the terms: -10 + 5b = 15(-3 + 3b) -10 + 5b = (-3 * 15 + 3b * 15) -10 + 5b = (-45 + 45b) Solving -10 + 5b = -45 + 45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45b' to each side of the equation. -10 + 5b + -45b = -45 + 45b + -45b Combine like terms: 5b + -45b = -40b -10 + -40b = -45 + 45b + -45b Combine like terms: 45b + -45b = 0 -10 + -40b = -45 + 0 -10 + -40b = -45 Add '10' to each side of the equation. -10 + 10 + -40b = -45 + 10 Combine like terms: -10 + 10 = 0 0 + -40b = -45 + 10 -40b = -45 + 10 Combine like terms: -45 + 10 = -35 -40b = -35 Divide each side by '-40'. b = 0.875 Simplifying b = 0.875
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