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Simplifying 5p + -10 = 4(7 + 6p) Reorder the terms: -10 + 5p = 4(7 + 6p) -10 + 5p = (7 * 4 + 6p * 4) -10 + 5p = (28 + 24p) Solving -10 + 5p = 28 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -10 + 5p + -24p = 28 + 24p + -24p Combine like terms: 5p + -24p = -19p -10 + -19p = 28 + 24p + -24p Combine like terms: 24p + -24p = 0 -10 + -19p = 28 + 0 -10 + -19p = 28 Add '10' to each side of the equation. -10 + 10 + -19p = 28 + 10 Combine like terms: -10 + 10 = 0 0 + -19p = 28 + 10 -19p = 28 + 10 Combine like terms: 28 + 10 = 38 -19p = 38 Divide each side by '-19'. p = -2 Simplifying p = -2
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