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Simplifying 8(-2b + -4) + -8(6b + 2) = 80 Reorder the terms: 8(-4 + -2b) + -8(6b + 2) = 80 (-4 * 8 + -2b * 8) + -8(6b + 2) = 80 (-32 + -16b) + -8(6b + 2) = 80 Reorder the terms: -32 + -16b + -8(2 + 6b) = 80 -32 + -16b + (2 * -8 + 6b * -8) = 80 -32 + -16b + (-16 + -48b) = 80 Reorder the terms: -32 + -16 + -16b + -48b = 80 Combine like terms: -32 + -16 = -48 -48 + -16b + -48b = 80 Combine like terms: -16b + -48b = -64b -48 + -64b = 80 Solving -48 + -64b = 80 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -64b = 80 + 48 Combine like terms: -48 + 48 = 0 0 + -64b = 80 + 48 -64b = 80 + 48 Combine like terms: 80 + 48 = 128 -64b = 128 Divide each side by '-64'. b = -2 Simplifying b = -2
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