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Simplifying 7(2p + 3) + 6(p + -2) = 10p + 29 Reorder the terms: 7(3 + 2p) + 6(p + -2) = 10p + 29 (3 * 7 + 2p * 7) + 6(p + -2) = 10p + 29 (21 + 14p) + 6(p + -2) = 10p + 29 Reorder the terms: 21 + 14p + 6(-2 + p) = 10p + 29 21 + 14p + (-2 * 6 + p * 6) = 10p + 29 21 + 14p + (-12 + 6p) = 10p + 29 Reorder the terms: 21 + -12 + 14p + 6p = 10p + 29 Combine like terms: 21 + -12 = 9 9 + 14p + 6p = 10p + 29 Combine like terms: 14p + 6p = 20p 9 + 20p = 10p + 29 Reorder the terms: 9 + 20p = 29 + 10p Solving 9 + 20p = 29 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 9 + 20p + -10p = 29 + 10p + -10p Combine like terms: 20p + -10p = 10p 9 + 10p = 29 + 10p + -10p Combine like terms: 10p + -10p = 0 9 + 10p = 29 + 0 9 + 10p = 29 Add '-9' to each side of the equation. 9 + -9 + 10p = 29 + -9 Combine like terms: 9 + -9 = 0 0 + 10p = 29 + -9 10p = 29 + -9 Combine like terms: 29 + -9 = 20 10p = 20 Divide each side by '10'. p = 2 Simplifying p = 2
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