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Simplifying 18b + 12(87 + -5n + 10b + n) + -13 = 68 Reorder the terms: 18b + 12(87 + 10b + -5n + n) + -13 = 68 Combine like terms: -5n + n = -4n 18b + 12(87 + 10b + -4n) + -13 = 68 18b + (87 * 12 + 10b * 12 + -4n * 12) + -13 = 68 18b + (1044 + 120b + -48n) + -13 = 68 Reorder the terms: 1044 + -13 + 18b + 120b + -48n = 68 Combine like terms: 1044 + -13 = 1031 1031 + 18b + 120b + -48n = 68 Combine like terms: 18b + 120b = 138b 1031 + 138b + -48n = 68 Solving 1031 + 138b + -48n = 68 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1031' to each side of the equation. 1031 + 138b + -1031 + -48n = 68 + -1031 Reorder the terms: 1031 + -1031 + 138b + -48n = 68 + -1031 Combine like terms: 1031 + -1031 = 0 0 + 138b + -48n = 68 + -1031 138b + -48n = 68 + -1031 Combine like terms: 68 + -1031 = -963 138b + -48n = -963 Add '48n' to each side of the equation. 138b + -48n + 48n = -963 + 48n Combine like terms: -48n + 48n = 0 138b + 0 = -963 + 48n 138b = -963 + 48n Divide each side by '138'. b = -6.97826087 + 0.347826087n Simplifying b = -6.97826087 + 0.347826087n
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