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Simplifying -48 = -7(1 + 5b) + -6(-1 + 2b) -48 = (1 * -7 + 5b * -7) + -6(-1 + 2b) -48 = (-7 + -35b) + -6(-1 + 2b) -48 = -7 + -35b + (-1 * -6 + 2b * -6) -48 = -7 + -35b + (6 + -12b) Reorder the terms: -48 = -7 + 6 + -35b + -12b Combine like terms: -7 + 6 = -1 -48 = -1 + -35b + -12b Combine like terms: -35b + -12b = -47b -48 = -1 + -47b Solving -48 = -1 + -47b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '47b' to each side of the equation. -48 + 47b = -1 + -47b + 47b Combine like terms: -47b + 47b = 0 -48 + 47b = -1 + 0 -48 + 47b = -1 Add '48' to each side of the equation. -48 + 48 + 47b = -1 + 48 Combine like terms: -48 + 48 = 0 0 + 47b = -1 + 48 47b = -1 + 48 Combine like terms: -1 + 48 = 47 47b = 47 Divide each side by '47'. b = 1 Simplifying b = 1
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