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Simplifying 2(8b + -7) + 6b = 5(3b + -6) Reorder the terms: 2(-7 + 8b) + 6b = 5(3b + -6) (-7 * 2 + 8b * 2) + 6b = 5(3b + -6) (-14 + 16b) + 6b = 5(3b + -6) Combine like terms: 16b + 6b = 22b -14 + 22b = 5(3b + -6) Reorder the terms: -14 + 22b = 5(-6 + 3b) -14 + 22b = (-6 * 5 + 3b * 5) -14 + 22b = (-30 + 15b) Solving -14 + 22b = -30 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. -14 + 22b + -15b = -30 + 15b + -15b Combine like terms: 22b + -15b = 7b -14 + 7b = -30 + 15b + -15b Combine like terms: 15b + -15b = 0 -14 + 7b = -30 + 0 -14 + 7b = -30 Add '14' to each side of the equation. -14 + 14 + 7b = -30 + 14 Combine like terms: -14 + 14 = 0 0 + 7b = -30 + 14 7b = -30 + 14 Combine like terms: -30 + 14 = -16 7b = -16 Divide each side by '7'. b = -2.285714286 Simplifying b = -2.285714286
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