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Simplifying -48 = -7(a + 8) Reorder the terms: -48 = -7(8 + a) -48 = (8 * -7 + a * -7) -48 = (-56 + -7a) Solving -48 = -56 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -48 + 7a = -56 + -7a + 7a Combine like terms: -7a + 7a = 0 -48 + 7a = -56 + 0 -48 + 7a = -56 Add '48' to each side of the equation. -48 + 48 + 7a = -56 + 48 Combine like terms: -48 + 48 = 0 0 + 7a = -56 + 48 7a = -56 + 48 Combine like terms: -56 + 48 = -8 7a = -8 Divide each side by '7'. a = -1.142857143 Simplifying a = -1.142857143
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