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Simplifying -2 + -5b + 1 + 8b = -8(-3 + -6b) + -5(8 + 6b) Reorder the terms: -2 + 1 + -5b + 8b = -8(-3 + -6b) + -5(8 + 6b) Combine like terms: -2 + 1 = -1 -1 + -5b + 8b = -8(-3 + -6b) + -5(8 + 6b) Combine like terms: -5b + 8b = 3b -1 + 3b = -8(-3 + -6b) + -5(8 + 6b) -1 + 3b = (-3 * -8 + -6b * -8) + -5(8 + 6b) -1 + 3b = (24 + 48b) + -5(8 + 6b) -1 + 3b = 24 + 48b + (8 * -5 + 6b * -5) -1 + 3b = 24 + 48b + (-40 + -30b) Reorder the terms: -1 + 3b = 24 + -40 + 48b + -30b Combine like terms: 24 + -40 = -16 -1 + 3b = -16 + 48b + -30b Combine like terms: 48b + -30b = 18b -1 + 3b = -16 + 18b Solving -1 + 3b = -16 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -1 + 3b + -18b = -16 + 18b + -18b Combine like terms: 3b + -18b = -15b -1 + -15b = -16 + 18b + -18b Combine like terms: 18b + -18b = 0 -1 + -15b = -16 + 0 -1 + -15b = -16 Add '1' to each side of the equation. -1 + 1 + -15b = -16 + 1 Combine like terms: -1 + 1 = 0 0 + -15b = -16 + 1 -15b = -16 + 1 Combine like terms: -16 + 1 = -15 -15b = -15 Divide each side by '-15'. b = 1 Simplifying b = 1
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