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Simplifying -58 = 4(1 + -2p) + -6(p + -6) -58 = (1 * 4 + -2p * 4) + -6(p + -6) -58 = (4 + -8p) + -6(p + -6) Reorder the terms: -58 = 4 + -8p + -6(-6 + p) -58 = 4 + -8p + (-6 * -6 + p * -6) -58 = 4 + -8p + (36 + -6p) Reorder the terms: -58 = 4 + 36 + -8p + -6p Combine like terms: 4 + 36 = 40 -58 = 40 + -8p + -6p Combine like terms: -8p + -6p = -14p -58 = 40 + -14p Solving -58 = 40 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. -58 + 14p = 40 + -14p + 14p Combine like terms: -14p + 14p = 0 -58 + 14p = 40 + 0 -58 + 14p = 40 Add '58' to each side of the equation. -58 + 58 + 14p = 40 + 58 Combine like terms: -58 + 58 = 0 0 + 14p = 40 + 58 14p = 40 + 58 Combine like terms: 40 + 58 = 98 14p = 98 Divide each side by '14'. p = 7 Simplifying p = 7
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