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Simplifying 5(a + -2) = 5(2p + 5) + 6(p + -1) Reorder the terms: 5(-2 + a) = 5(2p + 5) + 6(p + -1) (-2 * 5 + a * 5) = 5(2p + 5) + 6(p + -1) (-10 + 5a) = 5(2p + 5) + 6(p + -1) Reorder the terms: -10 + 5a = 5(5 + 2p) + 6(p + -1) -10 + 5a = (5 * 5 + 2p * 5) + 6(p + -1) -10 + 5a = (25 + 10p) + 6(p + -1) Reorder the terms: -10 + 5a = 25 + 10p + 6(-1 + p) -10 + 5a = 25 + 10p + (-1 * 6 + p * 6) -10 + 5a = 25 + 10p + (-6 + 6p) Reorder the terms: -10 + 5a = 25 + -6 + 10p + 6p Combine like terms: 25 + -6 = 19 -10 + 5a = 19 + 10p + 6p Combine like terms: 10p + 6p = 16p -10 + 5a = 19 + 16p Solving -10 + 5a = 19 + 16p Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5a = 19 + 10 + 16p Combine like terms: -10 + 10 = 0 0 + 5a = 19 + 10 + 16p 5a = 19 + 10 + 16p Combine like terms: 19 + 10 = 29 5a = 29 + 16p Divide each side by '5'. a = 5.8 + 3.2p Simplifying a = 5.8 + 3.2p
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