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Simplifying -14 = 3(8b + -6) + -4(6 + -1b) Reorder the terms: -14 = 3(-6 + 8b) + -4(6 + -1b) -14 = (-6 * 3 + 8b * 3) + -4(6 + -1b) -14 = (-18 + 24b) + -4(6 + -1b) -14 = -18 + 24b + (6 * -4 + -1b * -4) -14 = -18 + 24b + (-24 + 4b) Reorder the terms: -14 = -18 + -24 + 24b + 4b Combine like terms: -18 + -24 = -42 -14 = -42 + 24b + 4b Combine like terms: 24b + 4b = 28b -14 = -42 + 28b Solving -14 = -42 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. -14 + -28b = -42 + 28b + -28b Combine like terms: 28b + -28b = 0 -14 + -28b = -42 + 0 -14 + -28b = -42 Add '14' to each side of the equation. -14 + 14 + -28b = -42 + 14 Combine like terms: -14 + 14 = 0 0 + -28b = -42 + 14 -28b = -42 + 14 Combine like terms: -42 + 14 = -28 -28b = -28 Divide each side by '-28'. b = 1 Simplifying b = 1
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