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Simplifying -4a + 3a + -7 = -5a + 21 Reorder the terms: -7 + -4a + 3a = -5a + 21 Combine like terms: -4a + 3a = -1a -7 + -1a = -5a + 21 Reorder the terms: -7 + -1a = 21 + -5a Solving -7 + -1a = 21 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -7 + -1a + 5a = 21 + -5a + 5a Combine like terms: -1a + 5a = 4a -7 + 4a = 21 + -5a + 5a Combine like terms: -5a + 5a = 0 -7 + 4a = 21 + 0 -7 + 4a = 21 Add '7' to each side of the equation. -7 + 7 + 4a = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 4a = 21 + 7 4a = 21 + 7 Combine like terms: 21 + 7 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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