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Simplifying p + 2(a + -6) = 18 Reorder the terms: p + 2(-6 + a) = 18 p + (-6 * 2 + a * 2) = 18 p + (-12 + 2a) = 18 Reorder the terms: -12 + 2a + p = 18 Solving -12 + 2a + p = 18 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 + 2a + 12 + p = 18 + 12 Reorder the terms: -12 + 12 + 2a + p = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 2a + p = 18 + 12 2a + p = 18 + 12 Combine like terms: 18 + 12 = 30 2a + p = 30 Add '-1p' to each side of the equation. 2a + p + -1p = 30 + -1p Combine like terms: p + -1p = 0 2a + 0 = 30 + -1p 2a = 30 + -1p Divide each side by '2'. a = 15 + -0.5p Simplifying a = 15 + -0.5p
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