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Simplifying -6(8b + 8) + -2(-7 + -3b) = -76 Reorder the terms: -6(8 + 8b) + -2(-7 + -3b) = -76 (8 * -6 + 8b * -6) + -2(-7 + -3b) = -76 (-48 + -48b) + -2(-7 + -3b) = -76 -48 + -48b + (-7 * -2 + -3b * -2) = -76 -48 + -48b + (14 + 6b) = -76 Reorder the terms: -48 + 14 + -48b + 6b = -76 Combine like terms: -48 + 14 = -34 -34 + -48b + 6b = -76 Combine like terms: -48b + 6b = -42b -34 + -42b = -76 Solving -34 + -42b = -76 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -42b = -76 + 34 Combine like terms: -34 + 34 = 0 0 + -42b = -76 + 34 -42b = -76 + 34 Combine like terms: -76 + 34 = -42 -42b = -42 Divide each side by '-42'. b = 1 Simplifying b = 1
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