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Simplifying 2a + -5 = -7(7a + 8) Reorder the terms: -5 + 2a = -7(7a + 8) Reorder the terms: -5 + 2a = -7(8 + 7a) -5 + 2a = (8 * -7 + 7a * -7) -5 + 2a = (-56 + -49a) Solving -5 + 2a = -56 + -49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '49a' to each side of the equation. -5 + 2a + 49a = -56 + -49a + 49a Combine like terms: 2a + 49a = 51a -5 + 51a = -56 + -49a + 49a Combine like terms: -49a + 49a = 0 -5 + 51a = -56 + 0 -5 + 51a = -56 Add '5' to each side of the equation. -5 + 5 + 51a = -56 + 5 Combine like terms: -5 + 5 = 0 0 + 51a = -56 + 5 51a = -56 + 5 Combine like terms: -56 + 5 = -51 51a = -51 Divide each side by '51'. a = -1 Simplifying a = -1
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