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Simplifying -6(1 + 3b) + -8(7 + 8b) = -62 (1 * -6 + 3b * -6) + -8(7 + 8b) = -62 (-6 + -18b) + -8(7 + 8b) = -62 -6 + -18b + (7 * -8 + 8b * -8) = -62 -6 + -18b + (-56 + -64b) = -62 Reorder the terms: -6 + -56 + -18b + -64b = -62 Combine like terms: -6 + -56 = -62 -62 + -18b + -64b = -62 Combine like terms: -18b + -64b = -82b -62 + -82b = -62 Add '62' to each side of the equation. -62 + 62 + -82b = -62 + 62 Combine like terms: -62 + 62 = 0 0 + -82b = -62 + 62 -82b = -62 + 62 Combine like terms: -62 + 62 = 0 -82b = 0 Solving -82b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-82'. b = 0 Simplifying b = 0
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