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Simplifying 4a + -6a + 25 = 7a + -12 + 19 Reorder the terms: 25 + 4a + -6a = 7a + -12 + 19 Combine like terms: 4a + -6a = -2a 25 + -2a = 7a + -12 + 19 Reorder the terms: 25 + -2a = -12 + 19 + 7a Combine like terms: -12 + 19 = 7 25 + -2a = 7 + 7a Solving 25 + -2a = 7 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 25 + -2a + -7a = 7 + 7a + -7a Combine like terms: -2a + -7a = -9a 25 + -9a = 7 + 7a + -7a Combine like terms: 7a + -7a = 0 25 + -9a = 7 + 0 25 + -9a = 7 Add '-25' to each side of the equation. 25 + -25 + -9a = 7 + -25 Combine like terms: 25 + -25 = 0 0 + -9a = 7 + -25 -9a = 7 + -25 Combine like terms: 7 + -25 = -18 -9a = -18 Divide each side by '-9'. a = 2 Simplifying a = 2
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