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Simplifying 2 + 2a + 4(2a + 7) = -3 + 2a Reorder the terms: 2 + 2a + 4(7 + 2a) = -3 + 2a 2 + 2a + (7 * 4 + 2a * 4) = -3 + 2a 2 + 2a + (28 + 8a) = -3 + 2a Reorder the terms: 2 + 28 + 2a + 8a = -3 + 2a Combine like terms: 2 + 28 = 30 30 + 2a + 8a = -3 + 2a Combine like terms: 2a + 8a = 10a 30 + 10a = -3 + 2a Solving 30 + 10a = -3 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 30 + 10a + -2a = -3 + 2a + -2a Combine like terms: 10a + -2a = 8a 30 + 8a = -3 + 2a + -2a Combine like terms: 2a + -2a = 0 30 + 8a = -3 + 0 30 + 8a = -3 Add '-30' to each side of the equation. 30 + -30 + 8a = -3 + -30 Combine like terms: 30 + -30 = 0 0 + 8a = -3 + -30 8a = -3 + -30 Combine like terms: -3 + -30 = -33 8a = -33 Divide each side by '8'. a = -4.125 Simplifying a = -4.125
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