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Simplifying 4a + -3a + -7a + -1 = 19 + 3a + 16 Reorder the terms: -1 + 4a + -3a + -7a = 19 + 3a + 16 Combine like terms: 4a + -3a = 1a -1 + 1a + -7a = 19 + 3a + 16 Combine like terms: 1a + -7a = -6a -1 + -6a = 19 + 3a + 16 Reorder the terms: -1 + -6a = 19 + 16 + 3a Combine like terms: 19 + 16 = 35 -1 + -6a = 35 + 3a Solving -1 + -6a = 35 + 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. -1 + -6a + -3a = 35 + 3a + -3a Combine like terms: -6a + -3a = -9a -1 + -9a = 35 + 3a + -3a Combine like terms: 3a + -3a = 0 -1 + -9a = 35 + 0 -1 + -9a = 35 Add '1' to each side of the equation. -1 + 1 + -9a = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -9a = 35 + 1 -9a = 35 + 1 Combine like terms: 35 + 1 = 36 -9a = 36 Divide each side by '-9'. a = -4 Simplifying a = -4
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