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Simplifying 18 + -1(3b + -15) = 6(2b + 5) Reorder the terms: 18 + -1(-15 + 3b) = 6(2b + 5) 18 + (-15 * -1 + 3b * -1) = 6(2b + 5) 18 + (15 + -3b) = 6(2b + 5) Combine like terms: 18 + 15 = 33 33 + -3b = 6(2b + 5) Reorder the terms: 33 + -3b = 6(5 + 2b) 33 + -3b = (5 * 6 + 2b * 6) 33 + -3b = (30 + 12b) Solving 33 + -3b = 30 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 33 + -3b + -12b = 30 + 12b + -12b Combine like terms: -3b + -12b = -15b 33 + -15b = 30 + 12b + -12b Combine like terms: 12b + -12b = 0 33 + -15b = 30 + 0 33 + -15b = 30 Add '-33' to each side of the equation. 33 + -33 + -15b = 30 + -33 Combine like terms: 33 + -33 = 0 0 + -15b = 30 + -33 -15b = 30 + -33 Combine like terms: 30 + -33 = -3 -15b = -3 Divide each side by '-15'. b = 0.2 Simplifying b = 0.2
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