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Simplifying -15 + 4a = -7(a + -7) + 2 Reorder the terms: -15 + 4a = -7(-7 + a) + 2 -15 + 4a = (-7 * -7 + a * -7) + 2 -15 + 4a = (49 + -7a) + 2 Reorder the terms: -15 + 4a = 49 + 2 + -7a Combine like terms: 49 + 2 = 51 -15 + 4a = 51 + -7a Solving -15 + 4a = 51 + -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. -15 + 4a + 7a = 51 + -7a + 7a Combine like terms: 4a + 7a = 11a -15 + 11a = 51 + -7a + 7a Combine like terms: -7a + 7a = 0 -15 + 11a = 51 + 0 -15 + 11a = 51 Add '15' to each side of the equation. -15 + 15 + 11a = 51 + 15 Combine like terms: -15 + 15 = 0 0 + 11a = 51 + 15 11a = 51 + 15 Combine like terms: 51 + 15 = 66 11a = 66 Divide each side by '11'. a = 6 Simplifying a = 6
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