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Simplifying 4b + 30 = 6(-2b + -3) Reorder the terms: 30 + 4b = 6(-2b + -3) Reorder the terms: 30 + 4b = 6(-3 + -2b) 30 + 4b = (-3 * 6 + -2b * 6) 30 + 4b = (-18 + -12b) Solving 30 + 4b = -18 + -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. 30 + 4b + 12b = -18 + -12b + 12b Combine like terms: 4b + 12b = 16b 30 + 16b = -18 + -12b + 12b Combine like terms: -12b + 12b = 0 30 + 16b = -18 + 0 30 + 16b = -18 Add '-30' to each side of the equation. 30 + -30 + 16b = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 16b = -18 + -30 16b = -18 + -30 Combine like terms: -18 + -30 = -48 16b = -48 Divide each side by '16'. b = -3 Simplifying b = -3
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