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Simplifying -56 = -7(-6b + -6) + -8(1 + -6b) Reorder the terms: -56 = -7(-6 + -6b) + -8(1 + -6b) -56 = (-6 * -7 + -6b * -7) + -8(1 + -6b) -56 = (42 + 42b) + -8(1 + -6b) -56 = 42 + 42b + (1 * -8 + -6b * -8) -56 = 42 + 42b + (-8 + 48b) Reorder the terms: -56 = 42 + -8 + 42b + 48b Combine like terms: 42 + -8 = 34 -56 = 34 + 42b + 48b Combine like terms: 42b + 48b = 90b -56 = 34 + 90b Solving -56 = 34 + 90b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-90b' to each side of the equation. -56 + -90b = 34 + 90b + -90b Combine like terms: 90b + -90b = 0 -56 + -90b = 34 + 0 -56 + -90b = 34 Add '56' to each side of the equation. -56 + 56 + -90b = 34 + 56 Combine like terms: -56 + 56 = 0 0 + -90b = 34 + 56 -90b = 34 + 56 Combine like terms: 34 + 56 = 90 -90b = 90 Divide each side by '-90'. b = -1 Simplifying b = -1
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