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Simplifying 7(a + -7) + 15 = 4(a + -7) Reorder the terms: 7(-7 + a) + 15 = 4(a + -7) (-7 * 7 + a * 7) + 15 = 4(a + -7) (-49 + 7a) + 15 = 4(a + -7) Reorder the terms: -49 + 15 + 7a = 4(a + -7) Combine like terms: -49 + 15 = -34 -34 + 7a = 4(a + -7) Reorder the terms: -34 + 7a = 4(-7 + a) -34 + 7a = (-7 * 4 + a * 4) -34 + 7a = (-28 + 4a) Solving -34 + 7a = -28 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -34 + 7a + -4a = -28 + 4a + -4a Combine like terms: 7a + -4a = 3a -34 + 3a = -28 + 4a + -4a Combine like terms: 4a + -4a = 0 -34 + 3a = -28 + 0 -34 + 3a = -28 Add '34' to each side of the equation. -34 + 34 + 3a = -28 + 34 Combine like terms: -34 + 34 = 0 0 + 3a = -28 + 34 3a = -28 + 34 Combine like terms: -28 + 34 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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