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Simplifying 7(a + -6) + 7a = 7(a + -8) Reorder the terms: 7(-6 + a) + 7a = 7(a + -8) (-6 * 7 + a * 7) + 7a = 7(a + -8) (-42 + 7a) + 7a = 7(a + -8) Combine like terms: 7a + 7a = 14a -42 + 14a = 7(a + -8) Reorder the terms: -42 + 14a = 7(-8 + a) -42 + 14a = (-8 * 7 + a * 7) -42 + 14a = (-56 + 7a) Solving -42 + 14a = -56 + 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. -42 + 14a + -7a = -56 + 7a + -7a Combine like terms: 14a + -7a = 7a -42 + 7a = -56 + 7a + -7a Combine like terms: 7a + -7a = 0 -42 + 7a = -56 + 0 -42 + 7a = -56 Add '42' to each side of the equation. -42 + 42 + 7a = -56 + 42 Combine like terms: -42 + 42 = 0 0 + 7a = -56 + 42 7a = -56 + 42 Combine like terms: -56 + 42 = -14 7a = -14 Divide each side by '7'. a = -2 Simplifying a = -2
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