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Simplifying 4(2a + 2) + -15 = 15 + -3a Reorder the terms: 4(2 + 2a) + -15 = 15 + -3a (2 * 4 + 2a * 4) + -15 = 15 + -3a (8 + 8a) + -15 = 15 + -3a Reorder the terms: 8 + -15 + 8a = 15 + -3a Combine like terms: 8 + -15 = -7 -7 + 8a = 15 + -3a Solving -7 + 8a = 15 + -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. -7 + 8a + 3a = 15 + -3a + 3a Combine like terms: 8a + 3a = 11a -7 + 11a = 15 + -3a + 3a Combine like terms: -3a + 3a = 0 -7 + 11a = 15 + 0 -7 + 11a = 15 Add '7' to each side of the equation. -7 + 7 + 11a = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 11a = 15 + 7 11a = 15 + 7 Combine like terms: 15 + 7 = 22 11a = 22 Divide each side by '11'. a = 2 Simplifying a = 2
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