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