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Simplifying 2a + 3a + -6a + -7 = 21 + a + 4 Reorder the terms: -7 + 2a + 3a + -6a = 21 + a + 4 Combine like terms: 2a + 3a = 5a -7 + 5a + -6a = 21 + a + 4 Combine like terms: 5a + -6a = -1a -7 + -1a = 21 + a + 4 Reorder the terms: -7 + -1a = 21 + 4 + a Combine like terms: 21 + 4 = 25 -7 + -1a = 25 + a Solving -7 + -1a = 25 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -7 + -1a + -1a = 25 + a + -1a Combine like terms: -1a + -1a = -2a -7 + -2a = 25 + a + -1a Combine like terms: a + -1a = 0 -7 + -2a = 25 + 0 -7 + -2a = 25 Add '7' to each side of the equation. -7 + 7 + -2a = 25 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = 25 + 7 -2a = 25 + 7 Combine like terms: 25 + 7 = 32 -2a = 32 Divide each side by '-2'. a = -16 Simplifying a = -16
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