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Simplifying 29 = -1(1 + -6p) + -3(-4p + -4) 29 = (1 * -1 + -6p * -1) + -3(-4p + -4) 29 = (-1 + 6p) + -3(-4p + -4) Reorder the terms: 29 = -1 + 6p + -3(-4 + -4p) 29 = -1 + 6p + (-4 * -3 + -4p * -3) 29 = -1 + 6p + (12 + 12p) Reorder the terms: 29 = -1 + 12 + 6p + 12p Combine like terms: -1 + 12 = 11 29 = 11 + 6p + 12p Combine like terms: 6p + 12p = 18p 29 = 11 + 18p Solving 29 = 11 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. 29 + -18p = 11 + 18p + -18p Combine like terms: 18p + -18p = 0 29 + -18p = 11 + 0 29 + -18p = 11 Add '-29' to each side of the equation. 29 + -29 + -18p = 11 + -29 Combine like terms: 29 + -29 = 0 0 + -18p = 11 + -29 -18p = 11 + -29 Combine like terms: 11 + -29 = -18 -18p = -18 Divide each side by '-18'. p = 1 Simplifying p = 1
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