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Simplifying 5(p + 3) + a = 3(p + -2) + 6 Reorder the terms: 5(3 + p) + a = 3(p + -2) + 6 (3 * 5 + p * 5) + a = 3(p + -2) + 6 (15 + 5p) + a = 3(p + -2) + 6 Reorder the terms: 15 + a + 5p = 3(p + -2) + 6 Reorder the terms: 15 + a + 5p = 3(-2 + p) + 6 15 + a + 5p = (-2 * 3 + p * 3) + 6 15 + a + 5p = (-6 + 3p) + 6 Reorder the terms: 15 + a + 5p = -6 + 6 + 3p Combine like terms: -6 + 6 = 0 15 + a + 5p = 0 + 3p 15 + a + 5p = 3p Solving 15 + a + 5p = 3p Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + a + -15 + 5p = -15 + 3p Reorder the terms: 15 + -15 + a + 5p = -15 + 3p Combine like terms: 15 + -15 = 0 0 + a + 5p = -15 + 3p a + 5p = -15 + 3p Add '-5p' to each side of the equation. a + 5p + -5p = -15 + 3p + -5p Combine like terms: 5p + -5p = 0 a + 0 = -15 + 3p + -5p a = -15 + 3p + -5p Combine like terms: 3p + -5p = -2p a = -15 + -2p Simplifying a = -15 + -2p
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