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Simplifying 7p + -14 = 3(p + -8) + -6(3 + -3p) Reorder the terms: -14 + 7p = 3(p + -8) + -6(3 + -3p) Reorder the terms: -14 + 7p = 3(-8 + p) + -6(3 + -3p) -14 + 7p = (-8 * 3 + p * 3) + -6(3 + -3p) -14 + 7p = (-24 + 3p) + -6(3 + -3p) -14 + 7p = -24 + 3p + (3 * -6 + -3p * -6) -14 + 7p = -24 + 3p + (-18 + 18p) Reorder the terms: -14 + 7p = -24 + -18 + 3p + 18p Combine like terms: -24 + -18 = -42 -14 + 7p = -42 + 3p + 18p Combine like terms: 3p + 18p = 21p -14 + 7p = -42 + 21p Solving -14 + 7p = -42 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. -14 + 7p + -21p = -42 + 21p + -21p Combine like terms: 7p + -21p = -14p -14 + -14p = -42 + 21p + -21p Combine like terms: 21p + -21p = 0 -14 + -14p = -42 + 0 -14 + -14p = -42 Add '14' to each side of the equation. -14 + 14 + -14p = -42 + 14 Combine like terms: -14 + 14 = 0 0 + -14p = -42 + 14 -14p = -42 + 14 Combine like terms: -42 + 14 = -28 -14p = -28 Divide each side by '-14'. p = 2 Simplifying p = 2
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