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Simplifying 7(a + -8) + 22 = 4(a + -4) Reorder the terms: 7(-8 + a) + 22 = 4(a + -4) (-8 * 7 + a * 7) + 22 = 4(a + -4) (-56 + 7a) + 22 = 4(a + -4) Reorder the terms: -56 + 22 + 7a = 4(a + -4) Combine like terms: -56 + 22 = -34 -34 + 7a = 4(a + -4) Reorder the terms: -34 + 7a = 4(-4 + a) -34 + 7a = (-4 * 4 + a * 4) -34 + 7a = (-16 + 4a) Solving -34 + 7a = -16 + 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 = -16 + 4a + -4a Combine like terms: 7a + -4a = 3a -34 + 3a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -34 + 3a = -16 + 0 -34 + 3a = -16 Add '34' to each side of the equation. -34 + 34 + 3a = -16 + 34 Combine like terms: -34 + 34 = 0 0 + 3a = -16 + 34 3a = -16 + 34 Combine like terms: -16 + 34 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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