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Simplifying 3(p + -10) + 2(p + -29) = 2 Reorder the terms: 3(-10 + p) + 2(p + -29) = 2 (-10 * 3 + p * 3) + 2(p + -29) = 2 (-30 + 3p) + 2(p + -29) = 2 Reorder the terms: -30 + 3p + 2(-29 + p) = 2 -30 + 3p + (-29 * 2 + p * 2) = 2 -30 + 3p + (-58 + 2p) = 2 Reorder the terms: -30 + -58 + 3p + 2p = 2 Combine like terms: -30 + -58 = -88 -88 + 3p + 2p = 2 Combine like terms: 3p + 2p = 5p -88 + 5p = 2 Solving -88 + 5p = 2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + 5p = 2 + 88 Combine like terms: -88 + 88 = 0 0 + 5p = 2 + 88 5p = 2 + 88 Combine like terms: 2 + 88 = 90 5p = 90 Divide each side by '5'. p = 18 Simplifying p = 18
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