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Simplifying 29 + -1[5 + 2(5p + -2)] + 8(2p + -1) = 0 Reorder the terms: 29 + -1[5 + 2(-2 + 5p)] + 8(2p + -1) = 0 29 + -1[5 + (-2 * 2 + 5p * 2)] + 8(2p + -1) = 0 29 + -1[5 + (-4 + 10p)] + 8(2p + -1) = 0 Combine like terms: 5 + -4 = 1 29 + -1[1 + 10p] + 8(2p + -1) = 0 29 + [1 * -1 + 10p * -1] + 8(2p + -1) = 0 29 + [-1 + -10p] + 8(2p + -1) = 0 Reorder the terms: 29 + -1 + -10p + 8(-1 + 2p) = 0 29 + -1 + -10p + (-1 * 8 + 2p * 8) = 0 29 + -1 + -10p + (-8 + 16p) = 0 Reorder the terms: 29 + -1 + -8 + -10p + 16p = 0 Combine like terms: 29 + -1 = 28 28 + -8 + -10p + 16p = 0 Combine like terms: 28 + -8 = 20 20 + -10p + 16p = 0 Combine like terms: -10p + 16p = 6p 20 + 6p = 0 Solving 20 + 6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6p = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6p = 0 + -20 6p = 0 + -20 Combine like terms: 0 + -20 = -20 6p = -20 Divide each side by '6'. p = -3.333333333 Simplifying p = -3.333333333
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