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Simplifying -5a + 6 = -4a + (-7) Reorder the terms: 6 + -5a = -4a + (-7) 6 + -5a = -4a + -7 Reorder the terms: 6 + -5a = -7 + -4a Solving 6 + -5a = -7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 6 + -5a + 4a = -7 + -4a + 4a Combine like terms: -5a + 4a = -1a 6 + -1a = -7 + -4a + 4a Combine like terms: -4a + 4a = 0 6 + -1a = -7 + 0 6 + -1a = -7 Add '-6' to each side of the equation. 6 + -6 + -1a = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = -7 + -6 -1a = -7 + -6 Combine like terms: -7 + -6 = -13 -1a = -13 Divide each side by '-1'. a = 13 Simplifying a = 13
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