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Simplifying 5(6 + -3b) = 3b + 3 (6 * 5 + -3b * 5) = 3b + 3 (30 + -15b) = 3b + 3 Reorder the terms: 30 + -15b = 3 + 3b Solving 30 + -15b = 3 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 30 + -15b + -3b = 3 + 3b + -3b Combine like terms: -15b + -3b = -18b 30 + -18b = 3 + 3b + -3b Combine like terms: 3b + -3b = 0 30 + -18b = 3 + 0 30 + -18b = 3 Add '-30' to each side of the equation. 30 + -30 + -18b = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -18b = 3 + -30 -18b = 3 + -30 Combine like terms: 3 + -30 = -27 -18b = -27 Divide each side by '-18'. b = 1.5 Simplifying b = 1.5
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