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Simplifying a + (a + -2) + 5(a + -2) = 30 Reorder the terms: a + (-2 + a) + 5(a + -2) = 30 Remove parenthesis around (-2 + a) a + -2 + a + 5(a + -2) = 30 Reorder the terms: a + -2 + a + 5(-2 + a) = 30 a + -2 + a + (-2 * 5 + a * 5) = 30 a + -2 + a + (-10 + 5a) = 30 Reorder the terms: -2 + -10 + a + a + 5a = 30 Combine like terms: -2 + -10 = -12 -12 + a + a + 5a = 30 Combine like terms: a + a = 2a -12 + 2a + 5a = 30 Combine like terms: 2a + 5a = 7a -12 + 7a = 30 Solving -12 + 7a = 30 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7a = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 7a = 30 + 12 7a = 30 + 12 Combine like terms: 30 + 12 = 42 7a = 42 Divide each side by '7'. a = 6 Simplifying a = 6
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