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Simplifying 3a + -3 = 3(a + 1) + 7a + 2 Reorder the terms: -3 + 3a = 3(a + 1) + 7a + 2 Reorder the terms: -3 + 3a = 3(1 + a) + 7a + 2 -3 + 3a = (1 * 3 + a * 3) + 7a + 2 -3 + 3a = (3 + 3a) + 7a + 2 Reorder the terms: -3 + 3a = 3 + 2 + 3a + 7a Combine like terms: 3 + 2 = 5 -3 + 3a = 5 + 3a + 7a Combine like terms: 3a + 7a = 10a -3 + 3a = 5 + 10a Solving -3 + 3a = 5 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -3 + 3a + -10a = 5 + 10a + -10a Combine like terms: 3a + -10a = -7a -3 + -7a = 5 + 10a + -10a Combine like terms: 10a + -10a = 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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