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Simplifying -7 + -6a + 5a = 3a + -5 Combine like terms: -6a + 5a = -1a -7 + -1a = 3a + -5 Reorder the terms: -7 + -1a = -5 + 3a Solving -7 + -1a = -5 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -7 + -1a + -3a = -5 + 3a + -3a Combine like terms: -1a + -3a = -4a -7 + -4a = -5 + 3a + -3a Combine like terms: 3a + -3a = 0 -7 + -4a = -5 + 0 -7 + -4a = -5 Add '7' to each side of the equation. -7 + 7 + -4a = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -4a = -5 + 7 -4a = -5 + 7 Combine like terms: -5 + 7 = 2 -4a = 2 Divide each side by '-4'. a = -0.5 Simplifying a = -0.5
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