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Simplifying -5 + -8a = 8 + -7(a + 2) Reorder the terms: -5 + -8a = 8 + -7(2 + a) -5 + -8a = 8 + (2 * -7 + a * -7) -5 + -8a = 8 + (-14 + -7a) Combine like terms: 8 + -14 = -6 -5 + -8a = -6 + -7a Solving -5 + -8a = -6 + -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. -5 + -8a + 7a = -6 + -7a + 7a Combine like terms: -8a + 7a = -1a -5 + -1a = -6 + -7a + 7a Combine like terms: -7a + 7a = 0 -5 + -1a = -6 + 0 -5 + -1a = -6 Add '5' to each side of the equation. -5 + 5 + -1a = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = -6 + 5 -1a = -6 + 5 Combine like terms: -6 + 5 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1
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