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Simplifying 7a + 7 = -7(a + -3) Reorder the terms: 7 + 7a = -7(a + -3) Reorder the terms: 7 + 7a = -7(-3 + a) 7 + 7a = (-3 * -7 + a * -7) 7 + 7a = (21 + -7a) Solving 7 + 7a = 21 + -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. 7 + 7a + 7a = 21 + -7a + 7a Combine like terms: 7a + 7a = 14a 7 + 14a = 21 + -7a + 7a Combine like terms: -7a + 7a = 0 7 + 14a = 21 + 0 7 + 14a = 21 Add '-7' to each side of the equation. 7 + -7 + 14a = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 14a = 21 + -7 14a = 21 + -7 Combine like terms: 21 + -7 = 14 14a = 14 Divide each side by '14'. a = 1 Simplifying a = 1
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