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Simplifying -7(2p + 3) + -47 = 2(5p + 2) Reorder the terms: -7(3 + 2p) + -47 = 2(5p + 2) (3 * -7 + 2p * -7) + -47 = 2(5p + 2) (-21 + -14p) + -47 = 2(5p + 2) Reorder the terms: -21 + -47 + -14p = 2(5p + 2) Combine like terms: -21 + -47 = -68 -68 + -14p = 2(5p + 2) Reorder the terms: -68 + -14p = 2(2 + 5p) -68 + -14p = (2 * 2 + 5p * 2) -68 + -14p = (4 + 10p) Solving -68 + -14p = 4 + 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. -68 + -14p + -10p = 4 + 10p + -10p Combine like terms: -14p + -10p = -24p -68 + -24p = 4 + 10p + -10p Combine like terms: 10p + -10p = 0 -68 + -24p = 4 + 0 -68 + -24p = 4 Add '68' to each side of the equation. -68 + 68 + -24p = 4 + 68 Combine like terms: -68 + 68 = 0 0 + -24p = 4 + 68 -24p = 4 + 68 Combine like terms: 4 + 68 = 72 -24p = 72 Divide each side by '-24'. p = -3 Simplifying p = -3
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