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Simplifying 7(a + -7) + 8 = 3(a + -7) Reorder the terms: 7(-7 + a) + 8 = 3(a + -7) (-7 * 7 + a * 7) + 8 = 3(a + -7) (-49 + 7a) + 8 = 3(a + -7) Reorder the terms: -49 + 8 + 7a = 3(a + -7) Combine like terms: -49 + 8 = -41 -41 + 7a = 3(a + -7) Reorder the terms: -41 + 7a = 3(-7 + a) -41 + 7a = (-7 * 3 + a * 3) -41 + 7a = (-21 + 3a) Solving -41 + 7a = -21 + 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. -41 + 7a + -3a = -21 + 3a + -3a Combine like terms: 7a + -3a = 4a -41 + 4a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -41 + 4a = -21 + 0 -41 + 4a = -21 Add '41' to each side of the equation. -41 + 41 + 4a = -21 + 41 Combine like terms: -41 + 41 = 0 0 + 4a = -21 + 41 4a = -21 + 41 Combine like terms: -21 + 41 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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