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Simplifying 5(b + -3) + 5 = 3(4 + -2b) Reorder the terms: 5(-3 + b) + 5 = 3(4 + -2b) (-3 * 5 + b * 5) + 5 = 3(4 + -2b) (-15 + 5b) + 5 = 3(4 + -2b) Reorder the terms: -15 + 5 + 5b = 3(4 + -2b) Combine like terms: -15 + 5 = -10 -10 + 5b = 3(4 + -2b) -10 + 5b = (4 * 3 + -2b * 3) -10 + 5b = (12 + -6b) Solving -10 + 5b = 12 + -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. -10 + 5b + 6b = 12 + -6b + 6b Combine like terms: 5b + 6b = 11b -10 + 11b = 12 + -6b + 6b Combine like terms: -6b + 6b = 0 -10 + 11b = 12 + 0 -10 + 11b = 12 Add '10' to each side of the equation. -10 + 10 + 11b = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 11b = 12 + 10 11b = 12 + 10 Combine like terms: 12 + 10 = 22 11b = 22 Divide each side by '11'. b = 2 Simplifying b = 2
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