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Simplifying 2a + -3 = 2(a + 1) + 7a + 3 Reorder the terms: -3 + 2a = 2(a + 1) + 7a + 3 Reorder the terms: -3 + 2a = 2(1 + a) + 7a + 3 -3 + 2a = (1 * 2 + a * 2) + 7a + 3 -3 + 2a = (2 + 2a) + 7a + 3 Reorder the terms: -3 + 2a = 2 + 3 + 2a + 7a Combine like terms: 2 + 3 = 5 -3 + 2a = 5 + 2a + 7a Combine like terms: 2a + 7a = 9a -3 + 2a = 5 + 9a Solving -3 + 2a = 5 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -3 + 2a + -9a = 5 + 9a + -9a Combine like terms: 2a + -9a = -7a -3 + -7a = 5 + 9a + -9a Combine like terms: 9a + -9a = 0 -3 + -7a = 5 + 0 -3 + -7a = 5 Add '3' to each side of the equation. -3 + 3 + -7a = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -7a = 5 + 3 -7a = 5 + 3 Combine like terms: 5 + 3 = 8 -7a = 8 Divide each side by '-7'. a = -1.142857143 Simplifying a = -1.142857143
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